{"id":116247,"date":"2020-01-29T18:22:00","date_gmt":"2020-01-29T17:22:00","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/algebra\/multiplicacion-polinomios.html"},"modified":"2024-05-27T17:40:22","modified_gmt":"2024-05-27T15:40:22","slug":"multiplicacion-polinomios","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\/multiplicacion-polinomios.html","title":{"rendered":"Multiplicaci\u00f3n de polinomios"},"content":{"rendered":"<section style=\"\">\n<h3 class=\"r\" id=\"pro_n\">Multiplicaci\u00f3n de un n\u00famero por un polinomio<\/h3>\n<p class=\"\">Es otro <strong>polinomio<\/strong> que tiene de <strong>grado<\/strong> el <strong>mismo<\/strong> del polinomio y como <strong>coeficientes<\/strong> el <strong>producto de los coeficientes del polinomio por el n\u00famero<\/strong>.<\/p>\n<p class=\"actividades_2_v\">3 \u00b7 (  2x<sup>3<\/sup> - 3   x<sup>2<\/sup> + 4x - 2)  = 6x<sup>3<\/sup> - 9x<sup>2<\/sup> + 12x - 6 <\/p>\n<h3 class=\"r\" id=\"pro_m\" style=\"margin-top:30px;\">Multiplicaci\u00f3n de un monomio por un polinomio<\/h3>\n<p class=\"\">Se <strong>multiplica el monomio<\/strong> por todos y <strong>cada<\/strong> uno de los <strong>monomios que forman el polinomio<\/strong>.<\/p>\n<p class=\"actividades_2_v\">3 x<sup>2<\/sup> \u00b7 (2x<sup>3<\/sup> - 3x<sup>2<\/sup> + 4x - 2)  = 6x<sup>5<\/sup> - 9x<sup>4<\/sup> + 12x<sup>3<\/sup> - 6x<sup>2<\/sup><\/p>\n<h3 class=\"r\" id=\"pro_p\" style=\"margin-top:30px;\">Multiplicaci\u00f3n de polinomios<\/h3>\n<p class=\"actividades_2_v\">P(x) = 2x<sup>2<\/sup>  - 3    <span>Q(x) =  2x<sup>3<\/sup> - 3x<sup>2<\/sup> + 4x<\/span><\/p>\n<p class=\"\"><strong>Se multiplica  cada monomio del primer polinomio por todos los elementos segundo polinomio.<\/strong><\/p>\n<p class=\"\">P(x)  \u00b7  Q(x) = (2x<sup>2<\/sup> - 3)  \u00b7 (2x<sup>3<\/sup> - 3x<sup>2<\/sup> + 4x) =<\/p>\n<p class=\"actividades_2_v\">= 4x<sup>5<\/sup>  \u2212 6x<sup>4<\/sup> + 8x<sup>3<\/sup>  \u2212 6x<sup>3<\/sup> + 9x<sup>2<\/sup>  \u2212 12x = <\/p>\n<p class=\"\"><strong>Se suman los monomios del mismo grado.<\/strong><\/p>\n<p class=\"actividades_2_v\">= 4x<sup>5<\/sup> \u2212 6x<sup>4<\/sup> + 2x<sup>3<\/sup> + 9x<sup>2<\/sup> \u2212 12x <\/p>\n<p class=\"\">Se obtiene  otro <em><strong>polinomio<\/strong><\/em> cuyo <strong>grado<\/strong> es la <strong>suma<\/strong> de los <strong>grados <\/strong>de los <strong>polinomios<\/strong> que se <strong>multiplican<\/strong>.<\/p>\n<p class=\"\">Tambi\u00e9n podemos <strong>multiplicar polinomios<\/strong> de siguiente modo:<\/p>\n<p class=\"actividades_2\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/multiplicaci\u00f3n-de-polinomios-1.gif\" alt=\"Explicaciones y ejemplos de multiplicaci\u00f3n de polinomios\"  ><\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Multiplicaci\u00f3n de un n\u00famero por un polinomio Es otro polinomio que tiene de grado el mismo del polinomio y como coeficientes el producto de los coeficientes del polinomio por el n\u00famero. 3 \u00b7 ( 2&#215;3 &#8211; 3 x2 + 4x &#8211; 2) = 6&#215;3 &#8211; 9&#215;2 + 12x &#8211; 6 Multiplicaci\u00f3n de un monomio por [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[378],"tags":[373],"class_list":["post-116247","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-m"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\" class=\"advgb-post-tax-term\">\u00c1lgebra<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">\u00c1lgebra<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/algebra\" class=\"advgb-post-tax-term\">m<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">m<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 2 a\u00f1os hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 27 mayo 2024"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 22 min","modified":"Actualizado el 27 mayo 2024 17 h 40 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/116247","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=116247"}],"version-history":[{"count":1,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/116247\/revisions"}],"predecessor-version":[{"id":136010,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/116247\/revisions\/136010"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=116247"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=116247"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=116247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}