{"id":353,"date":"2023-07-06T00:28:30","date_gmt":"2023-07-06T00:28:30","guid":{"rendered":"https:\/\/mathority.org\/pt\/termo-principal-de-um-polinomio\/"},"modified":"2023-07-06T00:28:30","modified_gmt":"2023-07-06T00:28:30","slug":"termo-principal-de-um-polinomio","status":"publish","type":"post","link":"https:\/\/mathority.org\/pt\/termo-principal-de-um-polinomio\/","title":{"rendered":"Termo principal de um polin\u00f4mio"},"content":{"rendered":"<p>Neste artigo explicamos como descobrir qual \u00e9 o termo principal de um polin\u00f4mio. Al\u00e9m disso, voc\u00ea ver\u00e1 v\u00e1rios exemplos de como encontrar o termo principal de um polin\u00f4mio. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-termino-principal-de-un-polinomio\"><\/span> Qual \u00e9 o termo dominante de um polin\u00f4mio?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A defini\u00e7\u00e3o do termo principal de um polin\u00f4mio \u00e9 a seguinte:<\/p>\n<p> <strong>Em matem\u00e1tica, o termo principal de um polin\u00f4mio \u00e9 o termo de maior grau desse polin\u00f4mio, ou seja, o termo principal de um polin\u00f4mio \u00e9 o mon\u00f4mio que possui x com maior expoente.<\/strong><\/p>\n<p> Por exemplo, o primeiro termo do seguinte polin\u00f4mio \u00e9 5x <sup>3<\/sup> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9cd4cef8203e2643293bd186ebd19d31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=5x^3-4x^2+2x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O mon\u00f4mio de maior grau do polin\u00f4mio anterior \u00e9 <sup>5\u00d73<\/sup> (mon\u00f4mio de grau 3), portanto \u00e9 o termo principal do polin\u00f4mio.<\/p>\n<p> Por outro lado, o coeficiente l\u00edder de um polin\u00f4mio \u00e9 chamado de coeficiente do seu termo l\u00edder. Assim, seguindo o exemplo anterior, a inclina\u00e7\u00e3o do polin\u00f4mio seria 5.<\/p>\n<p> Al\u00e9m disso, o termo principal de um polin\u00f4mio \u00e9 usado para identificar quando um polin\u00f4mio \u00e9 m\u00f4nico. No link a seguir voc\u00ea pode ver <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/pt\/polinomio-monico\/\">o que \u00e9 um polin\u00f4mio unit\u00e1rio<\/a><\/span> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-como-hallar-el-termino-principal-de-un-polinomio\"><\/span> Exemplos de como encontrar o termo principal de um polin\u00f4mio<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agora que sabemos identificar o termo principal de um polin\u00f4mio, praticaremos com diversos exerc\u00edcios resolvidos.<\/p>\n<ul>\n<li> Exemplo do termo principal de um polin\u00f4mio de grau 5:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3753add3ca50c1567813d0246660bf3a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=7x^2+2x^5+x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"175\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O termo principal do polin\u00f4mio \u00e9 2x <sup>5<\/sup> porque \u00e9 o elemento de maior grau do polin\u00f4mio.<\/p>\n<p> \u27a4 <strong>Nota:<\/strong> Este polin\u00f4mio \u00e9 um trin\u00f4mio. Voc\u00ea pode ver por que \u00e9 chamado assim na <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/pt\/trinomio\/\">defini\u00e7\u00e3o de trin\u00f4mio<\/a><\/span> .<\/p>\n<ul>\n<li> Exemplo do termo principal de um polin\u00f4mio de grau 6:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a48f7927192b15783d24b8a69197d338_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=x^6-5x^3+2x-10\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O termo com maior grau do polin\u00f4mio \u00e9 x <sup>6<\/sup> , portanto \u00e9 o termo principal do polin\u00f4mio. Lembre-se que se a vari\u00e1vel n\u00e3o vier acompanhada de nenhum coeficiente, significa que o coeficiente \u00e9 1, portanto, o coeficiente l\u00edder deste polin\u00f4mio \u00e9 1.<\/p>\n<p> Observe que se for um polin\u00f4mio ordenado, o termo dominante \u00e9 o primeiro termo que aparece no polin\u00f4mio.<\/p>\n<ul>\n<li> Exemplo do termo principal de um polin\u00f4mio de grau 9:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ce6aa98c2320ac0126a2a1b8d89fad35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=-3x^9+7x^6+5x^4+3x^2+x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"279\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O termo do polin\u00f4mio cujo expoente \u00e9 m\u00e1ximo \u00e9 -3x <sup>9<\/sup> , portanto o termo principal do polin\u00f4mio \u00e9 -3x <sup>9<\/sup> . Observe que o sinal negativo tamb\u00e9m faz parte do termo principal.<\/p>\n<ul>\n<li> Exemplo do termo principal de um polin\u00f4mio com duas vari\u00e1veis:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5bdc61cf16f9ebc31e296a5fd92fa319_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)=3x^5+x^3y-2x^3y^4+10y^6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"258\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O termo principal do polin\u00f4mio \u00e9 -2x <sup>3<\/sup> e <sup>4<\/sup> , pois \u00e9 o mon\u00f4mio de maior grau do polin\u00f4mio.<\/p>\n<p> Neste exerc\u00edcio voc\u00ea deve ter cuidado porque o grau de um termo com duas vari\u00e1veis n\u00e3o \u00e9 calculado da mesma forma que o grau de um termo com uma \u00fanica vari\u00e1vel.<\/p>\n<p> Como voc\u00ea pode ver, o termo principal faz parte de um polin\u00f4mio que o caracteriza. Bem, outra propriedade polinomial muito importante \u00e9 o grau de um polin\u00f4mio. Por isso deixo para voc\u00eas este link onde \u00e9 explicado <a href=\"https:\/\/mathority.org\/pt\/grau-de-um-polinomio\/\"><span style=\"text-decoration: underline;\">o que \u00e9 o grau de um polin\u00f4mio<\/span><\/a> e como se calcula o grau de qualquer tipo de polin\u00f4mio (por exemplo, o grau de um polin\u00f4mio com duas ou mais vari\u00e1veis).<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Neste artigo explicamos como descobrir qual \u00e9 o termo principal de um polin\u00f4mio. Al\u00e9m disso, voc\u00ea ver\u00e1 v\u00e1rios exemplos de como encontrar o termo principal de um polin\u00f4mio. Qual \u00e9 o termo dominante de um polin\u00f4mio? A defini\u00e7\u00e3o do termo principal de um polin\u00f4mio \u00e9 a seguinte: Em matem\u00e1tica, o termo principal de um polin\u00f4mio &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/pt\/termo-principal-de-um-polinomio\/\"> <span class=\"screen-reader-text\">Termo principal de um polin\u00f4mio<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[21],"tags":[],"class_list":["post-353","post","type-post","status-publish","format-standard","hentry","category-polinomios"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Termo principal de um polin\u00f4mio - Matoridade<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/pt\/termo-principal-de-um-polinomio\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Termo principal de um polin\u00f4mio - Matoridade\" \/>\n<meta property=\"og:description\" content=\"Neste artigo explicamos como descobrir qual \u00e9 o termo principal de um polin\u00f4mio. 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