tag:blogger.com,1999:blog-75666060698383195422024-03-06T01:10:44.876-08:00PolinomiosIntegranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.comBlogger19125tag:blogger.com,1999:blog-7566606069838319542.post-35253226021696186392010-08-23T07:53:00.000-07:002010-08-23T07:53:26.526-07:006.- Video Propiedades de la Multiplicación de Polinomios<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dx2Gu_1S2LQBhs1rRlGEbZKUdRqNiEkYNMoklo5lSsD_EIEuGdywehXtqY45uNxh-NT_H0i3LRiSQg3yZqECg' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div><br />
Dictado por: Yusnery Urdaneta Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com1tag:blogger.com,1999:blog-7566606069838319542.post-60173214508363201042010-08-23T07:26:00.000-07:002010-08-23T07:56:36.255-07:005.- Video Sustracción de Polinomios<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dxU3yPppE7BBWW_jnameJ4O0r1oSrKSiy5HjAHLwtMwCAqXMSOhQpdrNBoQitJb9VmrO-n9KmLESmPf8lZw0g' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div><div class="separator" style="clear: both; text-align: center;"><br />
</div><div class="separator" style="clear: both; text-align: center;">Dictado por : Bellaly Urrutia </div>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com0tag:blogger.com,1999:blog-7566606069838319542.post-42086154383153079922010-08-23T07:16:00.000-07:002010-08-23T07:16:08.643-07:004.- Video Adiciòn de Expresiones Polinómicas<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dwxnBd-p2i-Nr0NbUl8JS_xFUADhIXQ2vjoPt_sURNUIc3WrlHuyu3CnujktPzjubZV08MaA7wqIquuYWStOw' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div><br />
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Dictado por: Yaqueline CadenasIntegranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com0tag:blogger.com,1999:blog-7566606069838319542.post-78006915606028125612010-08-23T07:02:00.000-07:002010-08-23T07:02:47.522-07:003.-Video Clasificacion de un Polinomio<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dzgypp6w7AmvqPyfKujLjNGoDJ0kozV3ZJ2XOI2ixL-EsjjzLCMWxoyf51_Anxdnli34zManVIOhywh78WhLg' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div><br />
Dictado por: Rosiner VillarrealIntegranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com0tag:blogger.com,1999:blog-7566606069838319542.post-84535939844273641672010-08-23T06:47:00.000-07:002010-08-23T06:59:57.936-07:002.-Video Elementos de un Polinomio<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dztk_pwrFoReI2FL8VJ-GgHpD3EsnsCBaCATxd-m6H6Q47-qMf6bceJFJCr7lAXYZrlITWIG07VGsY_EytgOw' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div><br />
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Dictado por: Omer HernandezIntegranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com0tag:blogger.com,1999:blog-7566606069838319542.post-24325281343996387332010-08-23T06:41:00.000-07:002010-08-23T06:41:02.282-07:001.-Video Función polinómica<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dzZj60mjM53RvTaWJYd8y9ldDYKkMO3ZXwTUsUxiNdH2rbGDQZTAQsdOVAAznFn98oO7hs3aVBE9-QxAqhN9g' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div><br />
Dictado por: Omer HernandezIntegranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com0tag:blogger.com,1999:blog-7566606069838319542.post-70475063479042829822010-08-21T15:38:00.000-07:002010-08-21T16:24:11.399-07:006.3.1- Propiedades de la Multiplicacion de Polinomios <span style="font-family: Arial, Helvetica, sans-serif;"><strong><span style="color: #3d85c6;">Propiedad conmutativa</span>:</strong> dado dos polinomios cuales quiera P(x) y Q(x) sobre Q se cumple que: P(x).Q(x)= Q(x).P(x)</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> <span style="color: #3d85c6;"><strong>Propiedad asociativa:</strong></span> dado tres polinomios cualesquiera P(x), Q(x) y R(x) sobre Q se cumple que: [P(x).Q(x)].R(x)= P(x). [Q(x) .R(x)]</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> <span style="color: #3d85c6;"><strong>Existencia de elemento neutro</strong>:</span> para todo polinomio Q(x) sobre Q, existe el polinomio unidad P(x)=1 tal que: 1=1.Q(x)= Q(x).</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> <span style="color: #3d85c6;"><strong>Propiedad distributiva:</strong></span>de la multiplicación con respecto a la adición dado tres polinomios P(x), Q(x) y R(x) sobre Q(x) la Propiedad distributiva establece que P(x)+ [Q(x) +R(x)]= P(x).Q(x)= Q(x).R(x)</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">http://www.monografias.com/trabajos16/productos-notables/productos-notables.shtml</span>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com8tag:blogger.com,1999:blog-7566606069838319542.post-27787558456880472422010-08-21T15:27:00.000-07:002010-08-22T00:30:14.219-07:006.3- Productos de Polinomios<span style="font-family: Arial, Helvetica, sans-serif;">Se procede de la siguiente manera:</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> Se ordenan (si no están ordenados) los polinomios en forma decreciente o creciente</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> Se multiplica cada termino de un polinomio por el segundo polinomio</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> Se efectúan los productos entre los monomios </span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> Se suman los términos semejantes.</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo: tendremos dos Polinomios Q(x) y P(x) </span><br />
<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span></div><span style="font-family: Arial, Helvetica, sans-serif;"></span><br />
<div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgswmJteGL1NfmVIkrxTyn3O4c03193WUC942OJoGqIoHYLLYCJtf2tYSADKWxCfjgFtZOpOTDUI7EoV1DIcn_XZW83TRDXBwFV2JPhoMT3fqTm6Zm7MiAPJT5xKqn-fb1RkIxTeB86NcEa/s1600/pro+de+poli.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgswmJteGL1NfmVIkrxTyn3O4c03193WUC942OJoGqIoHYLLYCJtf2tYSADKWxCfjgFtZOpOTDUI7EoV1DIcn_XZW83TRDXBwFV2JPhoMT3fqTm6Zm7MiAPJT5xKqn-fb1RkIxTeB86NcEa/s320/pro+de+poli.png" /></span></a></div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span></div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><span style="font-family: Arial, Helvetica, sans-serif;">Resolucion:</span></div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span></div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPBh1gmpgpFbpkl5o6k-n8RpaZKjI3udZUiZ3aXjskV1AaewLjjEsqEb-TRPx57c0vkkiGD4Ta429ZsA-qu5uYNeZEXgbDB-_pUxsp0eSnSkUA3QNzZRYSQHBFKtsTBUf0eUYAcaUu41BM/s1600/rseul+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" height="15" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPBh1gmpgpFbpkl5o6k-n8RpaZKjI3udZUiZ3aXjskV1AaewLjjEsqEb-TRPx57c0vkkiGD4Ta429ZsA-qu5uYNeZEXgbDB-_pUxsp0eSnSkUA3QNzZRYSQHBFKtsTBUf0eUYAcaUu41BM/s400/rseul+2.png" width="400" /></span></a></div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><br />
</div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: center;"><br />
</div><span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo: Dados los Polinomios P(x) Y Q(x) se multiplica:</span><br />
<br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhM2NSG5S1BlsvhfruhvSdWEYyImfxiyIjmRgjCYjsG-BoLVM5ey760vsdsyG3zA-iB09QGoAfuPS2m57-tv2BANGzMMFZ80nG5l4IMKr193qeG9g_toqA5esCAHyUXD9DTa4lLh7RZsEhz/s1600/poli+m+1.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" height="35" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhM2NSG5S1BlsvhfruhvSdWEYyImfxiyIjmRgjCYjsG-BoLVM5ey760vsdsyG3zA-iB09QGoAfuPS2m57-tv2BANGzMMFZ80nG5l4IMKr193qeG9g_toqA5esCAHyUXD9DTa4lLh7RZsEhz/s320/poli+m+1.bmp" width="320" /></span></a></div><div class="separator" style="clear: both; text-align: center;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFomzt-KOl5HN_Ri7TPdX-qhwnNneRGZL3GAdl8wvJTNtkd4V5ywT8e_T6uZbAbOWieH3rOxZILAJrf4RAex_BBEQjjzc5HCu-dUeh1ktpqjfjKKi7gFxgym0L0DoLtLDCl5m_cpt4m4Qa/s1600/poli+m2.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgFomzt-KOl5HN_Ri7TPdX-qhwnNneRGZL3GAdl8wvJTNtkd4V5ywT8e_T6uZbAbOWieH3rOxZILAJrf4RAex_BBEQjjzc5HCu-dUeh1ktpqjfjKKi7gFxgym0L0DoLtLDCl5m_cpt4m4Qa/s320/poli+m2.bmp" /></span></a></div><div class="separator" style="clear: both; text-align: center;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgj6PebGnaMoRFO4-qQ-LWHWGNdCuN-K40nELvGhsFDMWh37EgOgXB13jY4XxMccjwg6mXXWV6E1weW6APS945U16j_whn-Y-2ynbzRscqLPfOZWPN95jLQlEm4aOBP4qC2G-NKTK7AyJsu/s1600/poli+m3.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgj6PebGnaMoRFO4-qQ-LWHWGNdCuN-K40nELvGhsFDMWh37EgOgXB13jY4XxMccjwg6mXXWV6E1weW6APS945U16j_whn-Y-2ynbzRscqLPfOZWPN95jLQlEm4aOBP4qC2G-NKTK7AyJsu/s320/poli+m3.bmp" /></span></a></div><div class="separator" style="clear: both; text-align: center;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEyU2G8bCWuR_cSqD5jC_Etlo-MmHHJSys2CuM7y30rxS2kBRYvuYEC7sE2bT8ZfPqp5rmNXNThDTkHvM8Rl2zn6L2KvbrCxNnqfCisohZMzN3Ba5xYGfOCXv5MObjQFm7fieyKmSVYGC_/s1600/poli+m4.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEyU2G8bCWuR_cSqD5jC_Etlo-MmHHJSys2CuM7y30rxS2kBRYvuYEC7sE2bT8ZfPqp5rmNXNThDTkHvM8Rl2zn6L2KvbrCxNnqfCisohZMzN3Ba5xYGfOCXv5MObjQFm7fieyKmSVYGC_/s320/poli+m4.bmp" /></span></a></div><div class="separator" style="clear: both; text-align: center;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><br />
</div><span style="font-family: Arial, Helvetica, sans-serif;">Otra manera de resolverlo seria así: </span><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhyD495vYi3umQ_pLpHo37pbtCwAHuxR0Z-EJJinv2EQrN-XLJpohy9l3cMww7GqrTEi6-rWoMPCZ3cpFm0XfpjCuFs-6lX3RQCXQ1TX74CLFQaKya-PFZtLu8-Pcp9LPSjtNJ8M2cjNntL/s1600/poli+m5.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhyD495vYi3umQ_pLpHo37pbtCwAHuxR0Z-EJJinv2EQrN-XLJpohy9l3cMww7GqrTEi6-rWoMPCZ3cpFm0XfpjCuFs-6lX3RQCXQ1TX74CLFQaKya-PFZtLu8-Pcp9LPSjtNJ8M2cjNntL/s320/poli+m5.gif" /></span></a></div><div class="separator" style="clear: both; text-align: center;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnM57rxTOnlCLI-3ijt3NYub7T7YQ5NpD1qhFcmWHhmCGCm-peNKkAvD-7UDCZVPzYQ5RQfAive-dnDx3gkNPLZxWSL1k9WJXSEuWwAACtGTvjsuGk_Scwa83cvYL79h0Ueu5p8e9Vd3a0/s1600/poli+m6.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnM57rxTOnlCLI-3ijt3NYub7T7YQ5NpD1qhFcmWHhmCGCm-peNKkAvD-7UDCZVPzYQ5RQfAive-dnDx3gkNPLZxWSL1k9WJXSEuWwAACtGTvjsuGk_Scwa83cvYL79h0Ueu5p8e9Vd3a0/s320/poli+m6.gif" /></span></a></div><br />
<span style="font-family: Arial, Helvetica, sans-serif;">http://www.google.co.ve/search?sourceid=navclient&aq=0&oq=productos+de+poli&hl=es&ie=UTF-8&rlz=1T4GZHZ_es___VE393&q=productos+de+polinomios</span>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com0tag:blogger.com,1999:blog-7566606069838319542.post-46838173839876011442010-08-21T15:17:00.000-07:002010-08-22T00:11:21.040-07:006.2- Producto de un Monomio por un Polinomio<span style="font-family: Arial, Helvetica, sans-serif;">• Para efectuar el producto de un monomio por un polinomio se multiplica el monomio por cado uno de los términos del polinomio por ejemplo el siguiente producto:</span><br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEge6xgEy3I_vNjVluToVufdbxWUmh2ZUPPcpdmTZLaaAgWxYPbc1pdQncMe0GGxSiDxDrP4FecImavmUzAyUPiL017nTh_fcCrK1m7lYXEdD-3W7tWWpFtE5OSmn8j7-1tFKkc6nIbwUsLn/s1600/cons+1.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEge6xgEy3I_vNjVluToVufdbxWUmh2ZUPPcpdmTZLaaAgWxYPbc1pdQncMe0GGxSiDxDrP4FecImavmUzAyUPiL017nTh_fcCrK1m7lYXEdD-3W7tWWpFtE5OSmn8j7-1tFKkc6nIbwUsLn/s320/cons+1.bmp" /></span></a><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• (-5X³) . (2X⁴-X³+7X²-3X)<br />
• (-5X³).(2X⁴)+(-5X³).(-X³)+(-5X³).(7X²)+(-5X³).(-3X)= -10X⁷+5X⁶-35X⁵+15X⁴</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• En general se toma en cuenta los siguientes pasos:</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• Se ordena el polinomio de forma decreciente o creciente.</span><br />
<br />
<span style="font-family: Arial, Helvetica, sans-serif;">• Se aplica la propiedad distributiva del producto; si así lo prefiere.</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• Se efectúa la operación de producto entre el monomio y polinomio. </span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• Otra manera de resolver un producto de un monomio por un polinomio es escribiendo el monomio debajo del polinomio y se efectúa la operación de producto.</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• Por ejemplo: (-2X³). (3X-X⁶+X²+8); primero se ordena el polinomio en este caso de manera decreciente</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• a) -X⁶+X²+3X+8 </span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">-2X³</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">_ ____________</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">2X⁹-2X⁵-6X⁴-16X³</span><br />
<br />
<span style="font-family: Arial, Helvetica, sans-serif;">b) -2/5X⁶-4X⁴-3/2X²+5X</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> 1/3X²</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">______________________</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> -2/15X⁸-4/3X⁶-1/2X⁴+5/3X³</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">http://espanol.answers.yahoo.com/question/index?qid=20090109120648AAF92kD</span></div></div>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com4tag:blogger.com,1999:blog-7566606069838319542.post-38178458347935744422010-08-21T15:02:00.000-07:002010-08-22T00:02:12.288-07:006.1- Productos de Monomios<span style="font-family: Arial, Helvetica, sans-serif;">• Monomio: es una expresión algebraica n la que se utiliza letras, números y signos de operaciones.</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">Las únicas operaciones q aparecen entre las letras son el producto y la potencia de exponentes natural. Se denomina polinomio a la suma de varios monomios.</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">Un monomio es un polinomio con un único término.</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Elemento de un monomio:</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">Posee una serie de elementos con denominación específica:</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Por ejemplo: Dado el monomio 5X³ se distinguen los siguientes elementos: </span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Signo = ₊ </span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Coeficiente = 5</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Parte literal = X³</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Para multiplicar dos monomios, se multiplican los coeficientes y las potencias que tiene igual base; recordemos que para multiplicar por potencia de igual base, se coloca la misma base y se suman los exponentes. </span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Por ejemplo= </span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Para multiplicar (3X⁸)×(-2X³)= Se procede así:</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• Se multiplican los coeficientes 3 y -2, es decir , (3)×(-2) =-6</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Se multiplican las potencias de X= X⁸.X³ = X¹</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Luego decimos : (3X⁸).(-2X³) = -6X¹¹ </span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Dado los monomios; (6X³).(-4X⁵)=(6.(-4)).(X³.X⁵)= -24X⁸</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• (-6X³).(-3X⁴).(X¹⁰)=((-6).(-3).1).(X³.X⁴.X¹⁰)= -18X¹⁷</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• (7/2X⁵).(10/7X⁹)=(7/2 . 10/7).(X⁵.X⁹)=70/14X¹⁴=35/7X¹⁴=5X¹⁴</span><span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Otro tipo de monomio es el que está formado por su parte literal por potencias de base diferentes; el producto de este tipo de monomio se efectúa de manera similar: se multiplican primero los coeficientes y luego se multiplican las potencias que tienen igual base entre si.</span> <span style="font-family: Arial, Helvetica, sans-serif;"><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• Ejemplos:</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• 3XY².5X²Y = (3.5).(X.X²).(Y².Y)= 15X³Y³</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• 4X². 8X³Y = (4.8). (X².x³). (Y) =32X⁵Y</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">• (5a²b³).(-3ab). (4b²) = (5.(-3).4).(a².a).(b³.b.b²)= -60 a³b⁶</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">• (3/4X²Y³).(2/3 XY).(6/5X⁵) =(3/4.2/3.6/5).(X².X.X⁵).(Y³.Y)=3/5X⁸Y⁴</span><br />
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<span style="color: black; font-family: Arial, Helvetica, sans-serif;"><a href="http://www.google.co.ve/search?sourceid=navclient&hl=es&ie=UTF8&rlz">http://www.google.co.ve/search?sourceid=navclient&hl=es&ie=UTF8&rlz</a></span>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com4tag:blogger.com,1999:blog-7566606069838319542.post-91420174552249988832010-08-21T14:57:00.000-07:002010-08-21T23:44:51.957-07:006.- Multiplicación de Polinomios<span style="color: #3d85c6; font-family: Arial, Helvetica, sans-serif;"><strong>Multiplicación de una Constante por un Polinomio</strong></span><br />
<span style="color: black; font-family: Arial;">Para multiplicar una constante por un polinomio, se multiplica el coeficiente de cada término del polinomio por la constante K.</span><br />
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</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial;">Dado una constante K y un</span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial, Helvetica, sans-serif;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiaLmTXKVCT-AzWVe1m1WnFsGIFiPTVuh4v0_O-PSAdgSE34eCjLoiejDxn2k8vc79GFSDARwc-lymfqxFrr0QrbAi99ZEB-47hPZE-o7L8BFNk8jhGn-UADZwww-0GM4pKgMUS6ZbAQV2m/s1600/poli.png" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="14" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiaLmTXKVCT-AzWVe1m1WnFsGIFiPTVuh4v0_O-PSAdgSE34eCjLoiejDxn2k8vc79GFSDARwc-lymfqxFrr0QrbAi99ZEB-47hPZE-o7L8BFNk8jhGn-UADZwww-0GM4pKgMUS6ZbAQV2m/s320/poli.png" width="320" /></a></span><br />
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</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial, Helvetica, sans-serif;">Ejemplo:</span> <span style="font-family: Arial, Helvetica, sans-serif;">tendremos un K que tendra valor igual a 5 por un polinomio P(x)</span></div><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUhYYidErBPgNU5iF66SzhxxAIFn0gXEckYqZwgkVpUe20_ED92yVHO3op5J708T1lB98ZL-V4wrP6u-6uBe0VX8xSXl4bAAyhGa80oMsO-NohnrLGsDGhgcn4cjuaqb5bkHogj0YSPgGk/s1600/constante.png" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiUhYYidErBPgNU5iF66SzhxxAIFn0gXEckYqZwgkVpUe20_ED92yVHO3op5J708T1lB98ZL-V4wrP6u-6uBe0VX8xSXl4bAAyhGa80oMsO-NohnrLGsDGhgcn4cjuaqb5bkHogj0YSPgGk/s320/constante.png" /></a></div><span style="font-family: Arial, Helvetica, sans-serif;">x (5)</span><br />
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<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial;">Ejemplo: tendremos un K que tendra valor a 3 por un polinomio Q(x)</span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div class="separator" style="clear: both; text-align: center;">Q(x) =<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhywxY-kBxA5vTiiNoNVMs-TevBgSrPSoaYCxJuQNLcN8pLUcqZgeiAYoU-DqMCIM-U5j-aPrTybTy3ssnIguNahIHq6ArSdJcDn-5U73rP4SL9dBl8wrdWfoHMjuVpgW5oAVzddQkTscPa/s1600/cons+2.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="33" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhywxY-kBxA5vTiiNoNVMs-TevBgSrPSoaYCxJuQNLcN8pLUcqZgeiAYoU-DqMCIM-U5j-aPrTybTy3ssnIguNahIHq6ArSdJcDn-5U73rP4SL9dBl8wrdWfoHMjuVpgW5oAVzddQkTscPa/s400/cons+2.bmp" width="400" /></a></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
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</div><div align="left"><span style="font-family: Arial, Helvetica, sans-serif;">http://es.wikipedia.org/wiki/Polinomio</span></div><br />
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<span style="color: black;"></span></div><img height="7" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6FLyW_vs5TjgUX-Bq0GkIi1udKR5vX4AYQv5yBpdER4IJK2jD7nNTDa8L3FE4Rmq5iKhCDLNtCqVMhDefRJZ3ib4kCYv8nHKXI8ESOGnX1XmrIRotDa1_Z3DHQayKdEFx62y5wCoeGndv/s400/cons+1.bmp" style="filter: alpha(opacity=30); left: 299px; mozopacity: 0.3; opacity: 0.3; position: absolute; top: 346px; visibility: hidden;" width="96" /><img height="7" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6FLyW_vs5TjgUX-Bq0GkIi1udKR5vX4AYQv5yBpdER4IJK2jD7nNTDa8L3FE4Rmq5iKhCDLNtCqVMhDefRJZ3ib4kCYv8nHKXI8ESOGnX1XmrIRotDa1_Z3DHQayKdEFx62y5wCoeGndv/s400/cons+1.bmp" style="filter: alpha(opacity=30); left: 316px; mozopacity: 0.3; opacity: 0.3; position: absolute; top: 357px; visibility: hidden;" width="96" />Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com1tag:blogger.com,1999:blog-7566606069838319542.post-71366503524228511292010-08-21T14:44:00.000-07:002010-08-21T16:21:37.812-07:005.- Sustracción de Polinomios<span style="font-family: Arial, Helvetica, sans-serif;">Para restar dos polinomios se suma al minuendo el opuesto del sutraendo, es decir, se cambia el signo a todos los términos del segundo polinomio (sustraendo) y se suman los resultados.</span><span style="font-family: Arial, Helvetica, sans-serif;">Para restar el polinomio Q(x) del polinomio P(x) se debe sumar a P(x) el polinomio opuesto de Q(x).</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">P(x) - Q(x) = P(x) + [ - Q(x)].</span><br />
<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial;">Ejemplo de este seria:</span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjttCSrRWVp3rwnZwOGpRJOVbhfOtwJ4MbSQL9dTgModPOVUZbqKo73hI-RH2FEaDrKMmIOd5CY-aFdQ2xXKMbUHdAFa2pWuz0WoMfGiGHX3mt2UbQ3DduvGh7UfvzZm-ISqxQN9_UjEHXD/s1600/sustraccion.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="140" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjttCSrRWVp3rwnZwOGpRJOVbhfOtwJ4MbSQL9dTgModPOVUZbqKo73hI-RH2FEaDrKMmIOd5CY-aFdQ2xXKMbUHdAFa2pWuz0WoMfGiGHX3mt2UbQ3DduvGh7UfvzZm-ISqxQN9_UjEHXD/s320/sustraccion.png" width="320" /></a></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial, Helvetica, sans-serif;">http://www.cnice.mecd.es/Descartes/Bach_CNST_1/Polinomios/polinom1.htm#suma</span></div><br />
<img height="42" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjttCSrRWVp3rwnZwOGpRJOVbhfOtwJ4MbSQL9dTgModPOVUZbqKo73hI-RH2FEaDrKMmIOd5CY-aFdQ2xXKMbUHdAFa2pWuz0WoMfGiGHX3mt2UbQ3DduvGh7UfvzZm-ISqxQN9_UjEHXD/s320/sustraccion.png" style="filter: alpha(opacity=30); left: 216px; mozopacity: 0.3; opacity: 0.3; position: absolute; top: 291px; visibility: hidden;" width="96" />Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com13tag:blogger.com,1999:blog-7566606069838319542.post-33966299263083117272010-08-21T14:31:00.000-07:002010-08-21T16:21:25.736-07:004.1- Propiedades de la Adición de Polinomios<span style="color: #3d85c6;"> </span><span style="font-family: Arial, Helvetica, sans-serif;"><span style="color: #3d85c6;"><strong>Propiedad conmutativa</strong>:</span> se cumple P(x)+Q(x)= Q(x)+P(x)</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;"> <span style="color: #3d85c6;"><strong>Propiedad asociativa</strong>:</span> se cumple [P(x)+Q(x)]+R(x)= P(x)+ [Q(x) +R(x)]</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;"> <span style="color: #3d85c6;"><strong>Existencia de elemento neutro:</strong></span> 0(x)= 0xn +xn+1+0x+0=0 tal que P(x)+0(x)= P(x)</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;"> <span style="color: #3d85c6;"><strong>Existencia del elemento opuesto:</strong></span> P(x)+[(-P(x)]=0</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">http://www.ejercitando.com.ar/teormate/suma%20de%20polinomios.htm</span>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com27tag:blogger.com,1999:blog-7566606069838319542.post-45702367367581195782010-08-21T09:31:00.000-07:002010-08-21T16:20:32.721-07:004.- Adición de Polinomios<div style="color: #3d85c6;"><span style="font-family: Arial,Helvetica,sans-serif;"><strong>Adición de expresiones polinómicas:</strong></span></div><div style="color: blue;"><span style="font-family: Arial,Helvetica,sans-serif;"></span></div><span style="font-family: Arial,Helvetica,sans-serif;"><br />
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<div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;"> Para sumar expresiones polinomicas de dos o mas números se suman los términos, que son semejantes entre si, lo cual equivale a sumar unidades con unidades, decena con decenas, centenas con centenas, etc.</span><br />
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<span style="font-family: Arial;">Ejemplo: 5639 esto podria descomponerse de la siguiente manera</span><br />
<span style="font-family: Arial;"> 5639 : 5 . 1000 + 6 . 100 + 3 . 10 + 9 .1</span></div><span style="font-family: Arial,Helvetica,sans-serif;"><br />
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<span style="color: #3d85c6; font-family: Arial,Helvetica,sans-serif;"><strong>Adición de Polinomios:</strong></span><br />
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<span style="font-family: Arial,Helvetica,sans-serif;">Definición: Sea</span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqmG-zyMvNA2DMpuapEHuJEJZDZARDkcg3UhgG6DX2nw4rUGocjOmGBZVDIMAz28H6E1YEsXMki_ql6MjTNJDQTSSNeomn295kPLnO2aWvOXuFkuX971low_XYtmKWIV5KrCLodX8D4pW2/s1600/defi+1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial,Helvetica,sans-serif;"><img border="0" height="16" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqmG-zyMvNA2DMpuapEHuJEJZDZARDkcg3UhgG6DX2nw4rUGocjOmGBZVDIMAz28H6E1YEsXMki_ql6MjTNJDQTSSNeomn295kPLnO2aWvOXuFkuX971low_XYtmKWIV5KrCLodX8D4pW2/s400/defi+1.png" width="400" /></span></a><span style="font-family: Arial,Helvetica,sans-serif;"> </span><br />
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<div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;">Dados dos polinomios A(x) y B(x), se llama suma o adición a otro polinomio S(x) cuyos términos son la suma de los términos de igual grado de los polinomios sumandos. </span></div><div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;"></span></div><div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;"><br />
</span></div><div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;">Ejemplo 1:</span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;">Dados los polinomios </span></div><br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCFivBaqfC1CGa5gwTqkj1rp0DWDl3j6YOBEQ9RWLYJyepexCDuBVjeu9gXPycAbBSvkU-TRCeL7V-EAyZlYMeiJnAP9yajfQ_oxIYd-EFOZmumldnFROsJkMEFx8wn0YOr-AWeB8Zl-PU/s1600/suma+1.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial,Helvetica,sans-serif;"><img border="0" height="25" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCFivBaqfC1CGa5gwTqkj1rp0DWDl3j6YOBEQ9RWLYJyepexCDuBVjeu9gXPycAbBSvkU-TRCeL7V-EAyZlYMeiJnAP9yajfQ_oxIYd-EFOZmumldnFROsJkMEFx8wn0YOr-AWeB8Zl-PU/s400/suma+1.gif" width="400" /></span></a><br />
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<span style="font-family: Arial,Helvetica,sans-serif;">Hallar S(x) = A(x) + B(x) </span><br />
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<div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;">Una manera práctica de resolución es disponer los polinomios ordenados, encolumnando los monomios de igual grado </span></div><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRJJjQ8FcpLZZBuMP0txX_2Lr5EzjnOHU7xYbt4XUzZ855Q3SmhZ3heoMpowAsjjkGAiSPTbDCjLTPL_r_9aDf_5OzRN2kEmKR_hVppLqINdMxB1tDLDuWYnjY4S8cymTYVEBAhLRM5RWO/s1600/suma+2.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial,Helvetica,sans-serif;"><img border="0" height="91" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRJJjQ8FcpLZZBuMP0txX_2Lr5EzjnOHU7xYbt4XUzZ855Q3SmhZ3heoMpowAsjjkGAiSPTbDCjLTPL_r_9aDf_5OzRN2kEmKR_hVppLqINdMxB1tDLDuWYnjY4S8cymTYVEBAhLRM5RWO/s320/suma+2.gif" width="320" /></span></a></div><br />
<div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;">Como cada término de la suma S(x) se obtiene sumando los coeficientes de los monomios de igual grado, se puede escribir que:</span></div><span style="font-family: Arial,Helvetica,sans-serif;"> </span> <br />
<span style="font-family: Arial,Helvetica,sans-serif;"></span> <br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5-Eod2aJU8fTddkkrqx-jPaqNbRLurRLxBF8pDVBVBjKjAEWKVLesjYiTYqSdGG7GWX4zs8J7Pit62oxXBQR_L_esbQ7frwTzEmUYF9L1xrGsjgHRzWLm7brbd3nSe-rJZSjud7ePpdGa/s1600/suma3.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial,Helvetica,sans-serif;"><img border="0" height="200" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5-Eod2aJU8fTddkkrqx-jPaqNbRLurRLxBF8pDVBVBjKjAEWKVLesjYiTYqSdGG7GWX4zs8J7Pit62oxXBQR_L_esbQ7frwTzEmUYF9L1xrGsjgHRzWLm7brbd3nSe-rJZSjud7ePpdGa/s320/suma3.gif" width="320" /></span></a><span style="font-family: Arial,Helvetica,sans-serif;"> </span></div><div class="separator" style="clear: both; text-align: center;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: Arial,Helvetica,sans-serif;"></span></div><span style="font-family: Arial,Helvetica,sans-serif;">por lo tanto queda : </span> <br />
<span style="font-family: Arial,Helvetica,sans-serif;"></span> <br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQ0DCVCRiLrYhaDIdj4ZoIkUuk_DTxe1kMbgyP2kG-6k5A6DVbS9ek7cNVvFlNj_dWoSd9sSeBV-KVgcPxMsaSUpU_RjeXCdv3IlXkMoBYBzUITkC7fHG9pA4i0oeZetdt9nrnECfC9iRJ/s1600/suma+4.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial,Helvetica,sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQ0DCVCRiLrYhaDIdj4ZoIkUuk_DTxe1kMbgyP2kG-6k5A6DVbS9ek7cNVvFlNj_dWoSd9sSeBV-KVgcPxMsaSUpU_RjeXCdv3IlXkMoBYBzUITkC7fHG9pA4i0oeZetdt9nrnECfC9iRJ/s320/suma+4.gif" /></span></a></div><br />
<span style="font-family: Arial,Helvetica,sans-serif;"></span><br />
<span style="font-family: Arial,Helvetica,sans-serif;">Otra forma de resolver es </span><br />
<span style="font-family: Arial,Helvetica,sans-serif;"></span><br />
<span style="font-family: Arial,Helvetica,sans-serif;"><br />
</span><br />
<span style="font-family: Arial,Helvetica,sans-serif;"> S(x) = A(x) + B(x) = </span><br />
<span style="font-family: Arial,Helvetica,sans-serif;"><br />
</span><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgzY8Ro-zjQdrqPvwuBNzsrF-GvqfTCnQ5aX49rm3Lz4fkHHgxMOdthj70nxsziC60_yXfm1M6a0F7hcyyb6r58zaA1WST78D9YNcw68xJetcHiTc8G-Tplh0xH7ivqvy-qc6tMCwuLecqT/s1600/suma+5.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial,Helvetica,sans-serif;"><img border="0" height="30" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgzY8Ro-zjQdrqPvwuBNzsrF-GvqfTCnQ5aX49rm3Lz4fkHHgxMOdthj70nxsziC60_yXfm1M6a0F7hcyyb6r58zaA1WST78D9YNcw68xJetcHiTc8G-Tplh0xH7ivqvy-qc6tMCwuLecqT/s400/suma+5.gif" width="400" /></span></a></div><span style="font-family: Arial,Helvetica,sans-serif;"><br />
</span><br />
<span style="font-family: Arial,Helvetica,sans-serif;"><br />
</span><br />
<div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;">Se eliminan los parentesis y queda de la siguiente manera:</span></div><br />
<span style="font-family: Arial,Helvetica,sans-serif;"></span> <br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZRnkGid1ke3iCQIh1wgey8aNZKz6vgMR5zuXvUBV_WzyZi0mTwvo2XCuRHTTjH5xkHnv6bGMAPC3JPtilR4JGzmNzTc9lcpMehf5mDFPzUBQXFcxTeOIawHZDf-B3__2QebMRTL787hXz/s1600/suma6.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial,Helvetica,sans-serif;"><img border="0" height="31" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgZRnkGid1ke3iCQIh1wgey8aNZKz6vgMR5zuXvUBV_WzyZi0mTwvo2XCuRHTTjH5xkHnv6bGMAPC3JPtilR4JGzmNzTc9lcpMehf5mDFPzUBQXFcxTeOIawHZDf-B3__2QebMRTL787hXz/s400/suma6.gif" width="400" /></span></a></div><div class="separator" style="clear: both; text-align: center;"><br />
</div> <span style="font-family: Arial,Helvetica,sans-serif;">operando con los coeficientes, se obtiene </span><br />
<span style="font-family: Arial,Helvetica,sans-serif;"></span><br />
<span style="font-family: Arial,Helvetica,sans-serif;"><br />
</span><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKjsyDfXvZOLqoKrQr64d4bGa5HsCD3NqwYeJD2MoMgOEyZkzVFd1mOtNie4xAZbGa0uOc4djtQ_46jCQC6MRFR4BfWBx1hPqdgsqZJGYgzvRN71goNaLl_YCR1pTwYyO6e7kWwhHNSA8f/s1600/suma7.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial,Helvetica,sans-serif;"><img border="0" height="36" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKjsyDfXvZOLqoKrQr64d4bGa5HsCD3NqwYeJD2MoMgOEyZkzVFd1mOtNie4xAZbGa0uOc4djtQ_46jCQC6MRFR4BfWBx1hPqdgsqZJGYgzvRN71goNaLl_YCR1pTwYyO6e7kWwhHNSA8f/s200/suma7.gif" width="200" /></span></a></div><span style="font-family: Arial,Helvetica,sans-serif;"></span> <br />
<span style="font-family: Arial, Helvetica, sans-serif;">http://es.wikipedia.org/wiki/Polinomio</span><br />
<div style="color: #3d85c6;"></div>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com11tag:blogger.com,1999:blog-7566606069838319542.post-63397073819134865832010-08-21T08:40:00.000-07:002010-08-21T16:19:40.997-07:003.- Clasificación de los Polinomios<div class="separator" style="clear: both; text-align: center;"><span style="font-family: Arial, Helvetica, sans-serif;">Algunos polinomios reciben un nombre en especial según el número de términos no semejantes:</span></div><span style="font-family: Arial, Helvetica, sans-serif;"></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"> <strong><span style="color: #3d85c6;">Monomio:</span></strong> es el polinomio que esta formado por un solo termino</span><br />
<br />
<span style="color: #3d85c6;"></span><br />
<div class="separator" style="clear: both; text-align: center;"><span style="font-family: Arial, Helvetica, sans-serif;"></span></div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: Arial, Helvetica, sans-serif;"></span></div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: Arial, Helvetica, sans-serif;">Ej: P(x)=</span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhu_4R-wGz03rnKrrNADY_uzW5VtU2_IWqAVOCmZ7zwv2EYB4NAg8GmbL4h2c57K6s7CcIxrrYsnui7_mGTHYJ8t_gs1_DCO2h9US0FmxSf5nH6e38Rrbg1jC4B4kBTRUcNicWoCIv5DqUi/s1600/mono1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhu_4R-wGz03rnKrrNADY_uzW5VtU2_IWqAVOCmZ7zwv2EYB4NAg8GmbL4h2c57K6s7CcIxrrYsnui7_mGTHYJ8t_gs1_DCO2h9US0FmxSf5nH6e38Rrbg1jC4B4kBTRUcNicWoCIv5DqUi/s320/mono1.png" /></span></a><span style="font-family: Arial, Helvetica, sans-serif;"> Ej: Q(x)= </span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTmdI6LhaDWy2Dx-0RsA2Oj-0Q58AmT6xxmWuDzvRCWhcOtaHK6BoHIKX-1T599hCb8dNzHksMmzCReFwyce-nc-u1onb0MCjn0QpN4Wc72H68rP6Uw4GHZ8L4G2SE2Ji-R98qWtnOyc4Y/s1600/mono+2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgTmdI6LhaDWy2Dx-0RsA2Oj-0Q58AmT6xxmWuDzvRCWhcOtaHK6BoHIKX-1T599hCb8dNzHksMmzCReFwyce-nc-u1onb0MCjn0QpN4Wc72H68rP6Uw4GHZ8L4G2SE2Ji-R98qWtnOyc4Y/s320/mono+2.png" /></span></a></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial, Helvetica, sans-serif;"> </span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial, Helvetica, sans-serif;"> <span style="color: #3d85c6;"><strong>Binomio:</strong></span> es un polinomio formado por dos términos , </span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: Arial, Helvetica, sans-serif;">Ej: P(x)=</span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhK9ewXyHmK0Aq5AV1Zyl6zgU8OL8XnUzfSpvTQH2YSpg-hyQiJn7IkqPtjlM834_VikwDdDbFOMuDNvAU05jU50ZrJY_RXpbuBtMK3urI-2NaJbsnL2hsZU-fM_8pnIovBOTQmXqTKMiYV/s1600/bino+1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhK9ewXyHmK0Aq5AV1Zyl6zgU8OL8XnUzfSpvTQH2YSpg-hyQiJn7IkqPtjlM834_VikwDdDbFOMuDNvAU05jU50ZrJY_RXpbuBtMK3urI-2NaJbsnL2hsZU-fM_8pnIovBOTQmXqTKMiYV/s320/bino+1.png" /></span></a></div><div class="separator" style="clear: both; text-align: center;"><br />
</div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><span style="font-family: Arial, Helvetica, sans-serif;"> <strong><span style="color: #3d85c6;">Trinomio:</span></strong> es un polinomio formado por tres términos;</span></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><br />
</div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: Arial, Helvetica, sans-serif;">Ej:P(x)=</span><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNpqHTur9uQLCmLexn8R7-YnKLBqBYxmGR4Fea42taRgaTXc00DPnINnTBLOy759qWXdOaCsf4dzVaPMCnNa5ZEWzMEaNIkwJn9WSHkC9h5SFx1FmBddfNWm599elS08-KVmWdPWFufMss/s1600/trino+1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNpqHTur9uQLCmLexn8R7-YnKLBqBYxmGR4Fea42taRgaTXc00DPnINnTBLOy759qWXdOaCsf4dzVaPMCnNa5ZEWzMEaNIkwJn9WSHkC9h5SFx1FmBddfNWm599elS08-KVmWdPWFufMss/s320/trino+1.png" /></span></a></div><div class="separator" style="clear: both; text-align: left;"><br />
</div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: Arial, Helvetica, sans-serif;">http://www.vitutor.com/ab/p/poli_20.html</span></div><div class="separator" style="clear: both; text-align: left;"><br />
</div><div class="separator" style="clear: both; text-align: center;"></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"> </div>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com7tag:blogger.com,1999:blog-7566606069838319542.post-59274980780039578492010-08-19T10:37:00.000-07:002010-08-23T06:30:15.654-07:002.1.- Elementos de un Polinomios<div class="separator" style="clear: both; text-align: center;"></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigNxEflC40xbGnzKZnpol_dHJCyV8POf7I0dAcmEshQv0KFfYqypedqt7Vh9X5-aFHONVHkM7Wbd45gH-jV8zJs-dQhAYQt2zLdTeSrE2846ldhT3pqZg3HEA5n-1mNz4vq9-XG2WyVclp/s1600/index3.jpeg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigNxEflC40xbGnzKZnpol_dHJCyV8POf7I0dAcmEshQv0KFfYqypedqt7Vh9X5-aFHONVHkM7Wbd45gH-jV8zJs-dQhAYQt2zLdTeSrE2846ldhT3pqZg3HEA5n-1mNz4vq9-XG2WyVclp/s320/index3.jpeg" /></a></div><strong><span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: small;"><span style="color: #3d85c6;">Coeficiente de un polinomio</span></span><span style="font-size: small;"> </span></span></strong><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: small;"></span><br />
<div style="font-family: Arial,Helvetica,sans-serif;"><br />
</div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-family: Arial, Helvetica, sans-serif;"><span style="font-size: small;">Dado el siguiente </span><span style="font-size: small;">polinomio </span><span style="font-size: small;"> </span></span></div><span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span><br />
<div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;"></span></div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;">5y<sup>4</sup> - 2y<sup>3</sup> + y<sup>2</sup> - 7y + 8 , donde 5, 2, 1, 8 son números racionales, y se denominan coeficientes del polinomio.</span></div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><span style="font-family: Arial, Helvetica, sans-serif;"><br />
</span></div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><span style="font-family: Arial, Helvetica, sans-serif;">http://ponce.inter.edu/cremc/polinomio1.htm</span></div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><span style="font-size: small;"><br />
</span></div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><br />
</div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><span style="font-size: small;"><span style="color: #3d85c6;"><strong>Función de un polinomio</strong> </span> </span></div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><span style="font-size: small;">Cada uno de los sumandos de el polinomio p(x) = <img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwRJR870C2FPluD-f1JzNM1wJwGL6oIeN-GCq6YJudL5ecrKk5Zcknf7BfP1c7CpO-svdt_DO5zB-FU3D5CDbPKTpsrw27ptjTp7Kr20P8M-mt1wiqBfFwtUapATMLzz6Ykh5PVtiH-Fbt/s320/img9.gif" /> con sus respectivas variables se denominan función de polinomio.</span></div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><br />
</div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><br />
</div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><br />
</div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><span style="font-size: small;"><strong><span style="color: #3d85c6;">Términos de un polinomio</span></strong> </span></div><br />
<span style="font-family: Arial,Helvetica;">Es una expresión que esta formada por un coeficiente y una variable, y está separados por los signos de suma o resta.</span><br />
<div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><br />
</div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;">Ejemplo: </span>3x , -2x<sup>2</sup>, 4</div><span style="font-family: Arial,Helvetica;"></span><span style="font-family: Arial,Helvetica;"> </span><span style="font-family: Arial,Helvetica,sans-serif;"> </span><br />
<br />
<span style="font-family: Arial,Helvetica,sans-serif;"><a href="http://ponce.inter.edu/cremc/polinomio1.htm">http://ponce.inter.edu/cremc/polinomio1.htm</a></span><br />
<br />
<span style="font-family: Arial,Helvetica;"></span><br />
<div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"></div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><span style="font-size: small;"><span style="color: #3d85c6;"><strong>Grado de un polinomio</strong> </span></span></div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><br />
</div><div style="font-family: Arial,Helvetica,sans-serif; text-align: justify;"><span style="font-size: small;">Es el mayor exponente con el que aparece la variable, ( x, y, z...) con coeficiente no nulo.</span></div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;"><br />
</span></div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;">Ejemplo: </span></div><br />
<span style="font-family: Arial,Helvetica;">x<sup>2</sup> + 2x - 8</span> <br />
<div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;"><br />
</span></div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;">es decir que los grados del polinomio son: 2, 1, 0</span></div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;"><br />
</span></div><div style="font-family: Arial,Helvetica,sans-serif;"><br />
</div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;"> <b style="color: #3d85c6;"> </b></span></div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;"><b style="color: #3d85c6;">Términos semejantes de un polinomio </b></span></div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;"><br />
</span></div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;">Dos términos de un polinomio se dicen semejantes si tiene la misma variable y el mismo grado.</span></div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;"><br />
</span></div><div style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: small;">Ejemplo: </span></div><br />
<span style="font-family: Arial;">6a<sup>2</sup>b es semejante con -8 a<sup>2</sup>b</span><span style="font-family: Arial,Helvetica,sans-serif;"> porque tienen la misma variable y el mismo grado </span><br />
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<span style="font-family: Arial,Helvetica,sans-serif;">http://www.geolay.com/pagehtm/algeb01.htm#34</span><br />
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</div>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com49tag:blogger.com,1999:blog-7566606069838319542.post-18909341026105820022010-08-19T10:18:00.000-07:002010-08-23T06:33:09.542-07:002.-Función Polinómica<div style="text-align: justify;"><span style="font-size: large;"><span style="font-family: Arial,Helvetica,sans-serif; font-size: small;"> </span></span><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGEzO1jo5xO5miXEGSCHt3IEYMsEjJ7SjPW5Ri8QIaXqP_ohqmopYosf9C-Hfedo2Cj8MkNGnxiIy030wLzRYxL9pgt297319u_OrHwwsbaEwgZ4ozchnxPTvj5kP-_1EnXIl_zPRQ-7CL/s1600/index.jpeg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="160" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGEzO1jo5xO5miXEGSCHt3IEYMsEjJ7SjPW5Ri8QIaXqP_ohqmopYosf9C-Hfedo2Cj8MkNGnxiIy030wLzRYxL9pgt297319u_OrHwwsbaEwgZ4ozchnxPTvj5kP-_1EnXIl_zPRQ-7CL/s200/index.jpeg" width="200" /></a></div><span style="font-size: large;"><span style="font-family: Arial,Helvetica,sans-serif; font-size: small;">El estudio de las situaciones de la vida real invulocran a menudo una función. La palabra función expresa la idea de la dependencia entre dos variables. Dado el valor de la variable independiente, queda determinado el valor de la otra. Si se conoce el valor de una variable, se puede hallar el valor de la otra por medio de una función.</span></span><br />
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</div><div style="text-align: justify;"><span style="font-family: Arial,Helvetica,sans-serif;">De forma general definimos una función polinómica:</span></div><div style="text-align: justify;"><br />
</div><div class="separator" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none; clear: both; text-align: justify;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqhyphenhyphenuo9qXBMjJG2kBrwo1IKEtWxe0K-1vjKxeXsPVxGzFujgWTjbfWGtbBDIyrOM_JWcMf3v_qHfZWTVnSqULpO61Nf_ocI7YSyDMPnhZLpRv_zwpMQLb3Ekm906h_QTBQkmtE2C0ya8e7/s1600/funcionp.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial,Helvetica,sans-serif;"><img border="0" height="16" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqhyphenhyphenuo9qXBMjJG2kBrwo1IKEtWxe0K-1vjKxeXsPVxGzFujgWTjbfWGtbBDIyrOM_JWcMf3v_qHfZWTVnSqULpO61Nf_ocI7YSyDMPnhZLpRv_zwpMQLb3Ekm906h_QTBQkmtE2C0ya8e7/s400/funcionp.png" width="400" /></span></a></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span style="font-size: large;"> </span><span style="font-size: small;"><span style="font-family: Arial,Helvetica,sans-serif;">E</span><span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-family: Arial,Helvetica,sans-serif;">s</span> decir que una función polinómica no es más que una expresión acompañada por una variable o varias variables que representan un numero racional cualquiera.</span></span></div><div style="text-align: justify;"><br />
</div><div style="text-align: justify;"><span style="font-size: large;"> <span style="font-family: Arial,Helvetica,sans-serif; font-size: small;">Para que una función sea polinómica, los exponentes de la funcion deben ser todos enteros positivos, o cero. Si hay exponentes fraccionarios o negativos, ya no se trata de una función polinómica. </span></span></div><div align="justify"><span style="font-family: Arial,Helvetica,sans-serif;"></span></div><span style="font-family: Arial,Helvetica,sans-serif;"></span><br />
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</div><div align="justify"> <span style="font-family: Arial,Helvetica,sans-serif;"> Ejemplo:</span></div><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirD6IEv0q-yhWEfDZfmHUGUd-hviL3m7DMZLBsKCLZ3mRgZtcvpnv82-0EahbcqHbWfHlJs_RefGgBrfXrHgPn05oXccmC8VVoVxS7PnYJJHVISU-yMHIhpjOP1nMtqsVIxjapzKvTWeNp/s1600/img43.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirD6IEv0q-yhWEfDZfmHUGUd-hviL3m7DMZLBsKCLZ3mRgZtcvpnv82-0EahbcqHbWfHlJs_RefGgBrfXrHgPn05oXccmC8VVoVxS7PnYJJHVISU-yMHIhpjOP1nMtqsVIxjapzKvTWeNp/s320/img43.gif" /></a><span style="font-family: Arial,Helvetica,sans-serif;">Función Polinómica</span></div><div align="justify"><br />
</div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQLqsaJ7oLNDDZKvls9D_bzWquM7xIu157clNzJpLO57nd_21T3zlcpg16KjOQoskCCjSMNWV8k2jK_03JwbbvzkjVBC-GJx31o0y6df8j2ikVUqftLJGHfvLyrr7Bx8G_SaAyiLWL1qZ6/s1600/img44.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQLqsaJ7oLNDDZKvls9D_bzWquM7xIu157clNzJpLO57nd_21T3zlcpg16KjOQoskCCjSMNWV8k2jK_03JwbbvzkjVBC-GJx31o0y6df8j2ikVUqftLJGHfvLyrr7Bx8G_SaAyiLWL1qZ6/s320/img44.gif" /></a><span style="font-family: Arial,Helvetica,sans-serif;">No es una Función Polinómica</span></div><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">http://es.wikipedia.org/wiki/Funci%C3%B3n_polin%C3%B3mica</span><br />
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<img height="4" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqhyphenhyphenuo9qXBMjJG2kBrwo1IKEtWxe0K-1vjKxeXsPVxGzFujgWTjbfWGtbBDIyrOM_JWcMf3v_qHfZWTVnSqULpO61Nf_ocI7YSyDMPnhZLpRv_zwpMQLb3Ekm906h_QTBQkmtE2C0ya8e7/s400/funcionp.png" style="left: 577px; opacity: 0.3; position: absolute; top: 195px; visibility: hidden;" width="96" /></div>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com0tag:blogger.com,1999:blog-7566606069838319542.post-26277335154306264142010-08-19T09:27:00.000-07:002010-08-21T10:50:52.320-07:001.-Objetivo General<div style="color: blue; text-align: justify;"><br />
<ul style="color: #3d85c6;"><li><span style="font-size: large;"><b><span style="font-family: Arial,Helvetica,sans-serif;">I<span style="font-family: Times,"Times New Roman",serif;">dentificar los Polinomios y sus Operaciones utilizando diferentes técnicas .</span></span></b></span></li>
</ul></div>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com0tag:blogger.com,1999:blog-7566606069838319542.post-40023230146469082122010-08-19T08:56:00.000-07:002010-08-21T10:44:26.798-07:00Introducción<div style="border: medium none; text-align: justify;"><span style="background-color: white; font-family: Arial,Helvetica,sans-serif;"><i></i></span></div><div style="text-align: justify;"><br />
<span style="background-color: white; font-family: Arial,Helvetica,sans-serif;"><i></i></span></div><div style="text-align: justify;"><span style="background-color: white; font-family: Arial,Helvetica,sans-serif;"><i> <span style="color: magenta;">Hace unos 4.000 años, los babilonios conocían la manera de encontrar la solución positiva de ciertos tipos de ecuaciones. </span></i></span></div><div style="color: magenta; text-align: justify;"><table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxZc0H9Lj4VqNIwtAtAo5q09vig54xrTVsMXLA7v9lmxVZ_9TgyXrOP5KFDg7KX0GueIlCTug-dyLqgjIUfOsYG5QeGPNQ2PZ_xKkKcoMwK6EoYkVENVl3JZhN5quak1vhZZQ9fV8-FsVo/s1600/polinomios.jpg" imageanchor="1" style="clear: right; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="156" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxZc0H9Lj4VqNIwtAtAo5q09vig54xrTVsMXLA7v9lmxVZ_9TgyXrOP5KFDg7KX0GueIlCTug-dyLqgjIUfOsYG5QeGPNQ2PZ_xKkKcoMwK6EoYkVENVl3JZhN5quak1vhZZQ9fV8-FsVo/s200/polinomios.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><span style="font-family: Arial,Helvetica,sans-serif;">Babilonios</span></td></tr>
</tbody></table><i><br />
</i></div><div style="color: magenta; text-align: justify;"><i><span style="background-color: white; font-family: Arial,Helvetica,sans-serif;">Más adelante, matemáticos griegos, hindúes, árabes y europeos se dedicaron al estudio de estas ecuaciones y lograron avanzar a través del tiempo, hasta encontrar asi la fórmula para resolver cualquier ecuación. Dichas ecuaciones son conocidas como funciones polinómicas, un ejemplo claro es</span></i></div><div class="separator" style="clear: both; color: magenta; text-align: center;"><i><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYuGlhPo-F8VwKfHL29Tk_8DyMGQjvdbBXLE7jXx-2eTO4rmE3BF8wrz1hNBbn-jeIHzX3AgqxGwrp1cfWrnOrYCSgt9gTzegj-qWumBYY1PqMJa6si2HKV4JEkZpEFDhKL8uGJpT7FlSh/s1600/img9.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" ox="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYuGlhPo-F8VwKfHL29Tk_8DyMGQjvdbBXLE7jXx-2eTO4rmE3BF8wrz1hNBbn-jeIHzX3AgqxGwrp1cfWrnOrYCSgt9gTzegj-qWumBYY1PqMJa6si2HKV4JEkZpEFDhKL8uGJpT7FlSh/s320/img9.gif" /></a><span style="background-color: white; font-family: Arial,Helvetica,sans-serif;"> </span></i></div><div class="separator" style="clear: both; color: magenta; text-align: center;"><i><span style="background-color: white; font-family: Arial,Helvetica,sans-serif;"> </span></i></div><div class="separator" style="clear: both; color: black; text-align: center;"><i><span style="background-color: white; font-family: Arial,Helvetica,sans-serif;">http://www.rena.edu.ve/TerceraEtapa/Matematica/tema32web/Polinomios.html</span></i></div><div class="separator" style="clear: both; color: magenta; text-align: justify;"><i><span style="background-color: white; font-family: Arial,Helvetica,sans-serif;"> </span></i></div>Integranteshttp://www.blogger.com/profile/08486670433983972004noreply@blogger.com0