{"id":316,"date":"2023-07-06T10:39:39","date_gmt":"2023-07-06T10:39:39","guid":{"rendered":"https:\/\/mathority.org\/pt\/polinomio-oposto\/"},"modified":"2023-07-06T10:39:39","modified_gmt":"2023-07-06T10:39:39","slug":"polinomio-oposto","status":"publish","type":"post","link":"https:\/\/mathority.org\/pt\/polinomio-oposto\/","title":{"rendered":"Polin\u00f4mio oposto"},"content":{"rendered":"<p>Nesta p\u00e1gina explicamos o que s\u00e3o polin\u00f4mios opostos. Al\u00e9m disso, mostramos v\u00e1rios exemplos deste tipo de polin\u00f4mios para que voc\u00ea saiba claramente quando dois polin\u00f4mios s\u00e3o opostos. Finalmente, voc\u00ea tamb\u00e9m ver\u00e1 como determinar o oposto de um polin\u00f4mio. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-polinomio-opuesto\"><\/span> Qual \u00e9 o polin\u00f4mio oposto?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A defini\u00e7\u00e3o do polin\u00f4mio oposto \u00e9 a seguinte:<\/p>\n<p> <strong>Em matem\u00e1tica, dois polin\u00f4mios s\u00e3o opostos se os coeficientes dos termos de igual grau s\u00e3o opostos, ou seja, t\u00eam o mesmo valor, mas de sinais opostos.<\/strong><\/p>\n<p> De modo que dois polin\u00f4mios s\u00e3o opostos quando diferem apenas nos sinais de seus mon\u00f4mios, que s\u00e3o opostos entre si.<\/p>\n<p> Por exemplo, os 2 polin\u00f4mios a seguir s\u00e3o opostos:<\/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-9021674d35dd5c2b02c2967c05e42f69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= x^3+3x^2-5x+4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/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-666608e06c183788d5cb268c4206e823_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)= -x^3-3x^2+5x-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"213\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> O polin\u00f4mio P(x) e o polin\u00f4mio Q(x) s\u00e3o opostos porque os coeficientes dos termos do mesmo grau s\u00e3o iguais, mas mudaram de sinal.<\/p>\n<p> Se voc\u00ea chegou at\u00e9 aqui, presumo que j\u00e1 saiba quais s\u00e3o os coeficientes de um polin\u00f4mio, mas o que poucas pessoas sabem \u00e9 qual \u00e9 o <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/pt\/coeficiente-principal-de-um-polinomio\/\">coeficiente l\u00edder de um polin\u00f4mio<\/a><\/span><\/strong> (e \u00e9 uma caracter\u00edstica importante dos polin\u00f4mios). Vou deixar este link para voc\u00ea caso voc\u00ea ainda n\u00e3o saiba o que \u00e9. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-polinomios-opuestos\"><\/span> Exemplos de polin\u00f4mios opostos<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Uma vez conhecido o significado do polin\u00f4mio oposto, veremos v\u00e1rios exemplos desse tipo de polin\u00f4mio para finalizar a compreens\u00e3o do conceito.<\/p>\n<ul>\n<li> Exemplo de polin\u00f4mios opostos 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-0b941599e82fbd59dad659a077272b1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= -2x^5+7x^3-6x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"221\" style=\"vertical-align: -5px;\"><\/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-d9d4cf9d1075ec7c0715632c3782079f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)= 2x^5-7x^3+6x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Exemplo de polin\u00f4mios opostos 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-f9402515065df441157139be6aa61af0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 4x^6-2x^4-5x^3+9x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"225\" style=\"vertical-align: -5px;\"><\/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-027fac18a61a119c7ff167ad8f6a6813_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)= -4x^6+2x^4+5x^3-9x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"239\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Exemplo de polin\u00f4mios opostos 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-a54644ebc72efb5ee227c593e6e04e00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= x^9+7x^8-4x^6+2x^4+3x^2-10x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"352\" style=\"vertical-align: -5px;\"><\/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-e1ccb825a930d07f92c772be2ff2e3f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x)= -x^9-7x^8+4x^6-2x^4-3x^2+10x-1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"366\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Por outro lado, podemos deduzir que uma das propriedades dos polin\u00f4mios opostos \u00e9 que seus valores num\u00e9ricos para o mesmo valor s\u00e3o iguais, mas t\u00eam seu sinal alterado. Esta propriedade \u00e9 importante que voc\u00ea a entenda bem, por isso deixo para voc\u00eas o seguinte link onde \u00e9 explicado o <a href=\"https:\/\/mathority.org\/pt\/valor-numerico-de-um-polinomio-exemplos-exercicios-resolvidos\/\"><strong><span style=\"text-decoration: underline;\">valor num\u00e9rico<\/span><\/strong><\/a> caso voc\u00ea n\u00e3o saiba o que \u00e9. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-hallar-el-opuesto-de-un-polinomio\"><\/span> Como encontrar o oposto de um polin\u00f4mio<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Finalmente, explicaremos como obter o oposto de um polin\u00f4mio. Para isso, resolveremos passo a passo um exerc\u00edcio:<\/p>\n<ul>\n<li> Qual \u00e9 o oposto do seguinte polin\u00f4mio?<\/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-899e16f30e23f8733bfb1be45f1298ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 5x^4+6x^3-4x^2+8x-2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"255\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Para calcular o oposto de um polin\u00f4mio, basta trocar os sinais positivos por negativos e vice-versa. ENT\u00c3O:<\/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-385c2aacf5bc9c888f4a7a7dddcbaeaa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-P(x)= -5x^4-6x^3+4x^2-8x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"282\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Observe que isso equivale a multiplicar o polin\u00f4mio inteiro por -1:<\/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-c62cb55d16a25d30ac2c8b35596865d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} -1\\cdot P(x) &amp; = -1\\cdot \\left( 5x^4+6x^3-4x^2+8x-2 \\right) \\\\[2ex] &amp;= -5x^4-6x^3+4x^2-8x+2 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"340\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Depois de saber o que significa um polin\u00f4mio oposto, voc\u00ea pode querer saber como fazer opera\u00e7\u00f5es com eles. Pois bem, uma das opera\u00e7\u00f5es mais peculiares dos polin\u00f4mios (e tamb\u00e9m a mais \u00fatil) \u00e9 o <strong><a href=\"https:\/\/mathority.org\/pt\/extrair-extrair-exercicios-exemplos-resolvidos-de-fator-comum\/\"><span style=\"text-decoration: underline;\">fator comum<\/span><\/a><\/strong> . Clicando neste link voc\u00ea poder\u00e1 ver como extrair um fator comum de um polin\u00f4mio e, al\u00e9m disso, poder\u00e1 praticar com exerc\u00edcios resolvidos.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Nesta p\u00e1gina explicamos o que s\u00e3o polin\u00f4mios opostos. Al\u00e9m disso, mostramos v\u00e1rios exemplos deste tipo de polin\u00f4mios para que voc\u00ea saiba claramente quando dois polin\u00f4mios s\u00e3o opostos. Finalmente, voc\u00ea tamb\u00e9m ver\u00e1 como determinar o oposto de um polin\u00f4mio. Qual \u00e9 o polin\u00f4mio oposto? A defini\u00e7\u00e3o do polin\u00f4mio oposto \u00e9 a seguinte: Em matem\u00e1tica, dois polin\u00f4mios &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/pt\/polinomio-oposto\/\"> <span class=\"screen-reader-text\">Polin\u00f4mio oposto<\/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":[38],"tags":[],"class_list":["post-316","post","type-post","status-publish","format-standard","hentry","category-tipos-de-polinomios"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Polin\u00f4mio Oposto - 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\/polinomio-oposto\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Polin\u00f4mio Oposto - Matoridade\" \/>\n<meta property=\"og:description\" content=\"Nesta p\u00e1gina explicamos o que s\u00e3o polin\u00f4mios opostos. Al\u00e9m disso, mostramos v\u00e1rios exemplos deste tipo de polin\u00f4mios para que voc\u00ea saiba claramente quando dois polin\u00f4mios s\u00e3o opostos. Finalmente, voc\u00ea tamb\u00e9m ver\u00e1 como determinar o oposto de um polin\u00f4mio. Qual \u00e9 o polin\u00f4mio oposto? A defini\u00e7\u00e3o do polin\u00f4mio oposto \u00e9 a seguinte: Em matem\u00e1tica, dois polin\u00f4mios &hellip; Polin\u00f4mio oposto Leia mais &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/pt\/polinomio-oposto\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T10:39:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9021674d35dd5c2b02c2967c05e42f69_l3.png\" \/>\n<meta name=\"author\" content=\"Equipe Mathoridade\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Equipe Mathoridade\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/pt\/polinomio-oposto\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/pt\/polinomio-oposto\/\"},\"author\":{\"name\":\"Equipe Mathoridade\",\"@id\":\"https:\/\/mathority.org\/pt\/#\/schema\/person\/26defeb7b79f5baaedafa33a1ac6ac00\"},\"headline\":\"Polin\u00f4mio oposto\",\"datePublished\":\"2023-07-06T10:39:39+00:00\",\"dateModified\":\"2023-07-06T10:39:39+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/pt\/polinomio-oposto\/\"},\"wordCount\":456,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/pt\/#organization\"},\"articleSection\":[\"Tipos de polin\u00f4mios\"],\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/pt\/polinomio-oposto\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/pt\/polinomio-oposto\/\",\"url\":\"https:\/\/mathority.org\/pt\/polinomio-oposto\/\",\"name\":\"Polin\u00f4mio Oposto - Matoridade\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/pt\/#website\"},\"datePublished\":\"2023-07-06T10:39:39+00:00\",\"dateModified\":\"2023-07-06T10:39:39+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/pt\/polinomio-oposto\/#breadcrumb\"},\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/pt\/polinomio-oposto\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/pt\/polinomio-oposto\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Polin\u00f4mio oposto\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/pt\/#website\",\"url\":\"https:\/\/mathority.org\/pt\/\",\"name\":\"Mathority\",\"description\":\"Onde a curiosidade encontra o c\u00e1lculo!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/pt\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-BR\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/pt\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/pt\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\/\/mathority.org\/pt\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/pt\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/pt\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/pt\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/pt\/#\/schema\/person\/26defeb7b79f5baaedafa33a1ac6ac00\",\"name\":\"Equipe Mathoridade\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\/\/mathority.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Equipe Mathoridade\"},\"sameAs\":[\"http:\/\/mathority.org\/pt\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Polin\u00f4mio Oposto - Matoridade","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/pt\/polinomio-oposto\/","og_locale":"pt_BR","og_type":"article","og_title":"Polin\u00f4mio Oposto - Matoridade","og_description":"Nesta p\u00e1gina explicamos o que s\u00e3o polin\u00f4mios opostos. Al\u00e9m disso, mostramos v\u00e1rios exemplos deste tipo de polin\u00f4mios para que voc\u00ea saiba claramente quando dois polin\u00f4mios s\u00e3o opostos. Finalmente, voc\u00ea tamb\u00e9m ver\u00e1 como determinar o oposto de um polin\u00f4mio. Qual \u00e9 o polin\u00f4mio oposto? A defini\u00e7\u00e3o do polin\u00f4mio oposto \u00e9 a seguinte: Em matem\u00e1tica, dois polin\u00f4mios &hellip; Polin\u00f4mio oposto Leia mais &raquo;","og_url":"https:\/\/mathority.org\/pt\/polinomio-oposto\/","article_published_time":"2023-07-06T10:39:39+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9021674d35dd5c2b02c2967c05e42f69_l3.png"}],"author":"Equipe Mathoridade","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Equipe Mathoridade","Est. tempo de leitura":"2 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/pt\/polinomio-oposto\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/pt\/polinomio-oposto\/"},"author":{"name":"Equipe Mathoridade","@id":"https:\/\/mathority.org\/pt\/#\/schema\/person\/26defeb7b79f5baaedafa33a1ac6ac00"},"headline":"Polin\u00f4mio oposto","datePublished":"2023-07-06T10:39:39+00:00","dateModified":"2023-07-06T10:39:39+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/pt\/polinomio-oposto\/"},"wordCount":456,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/pt\/#organization"},"articleSection":["Tipos de polin\u00f4mios"],"inLanguage":"pt-BR","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/pt\/polinomio-oposto\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/pt\/polinomio-oposto\/","url":"https:\/\/mathority.org\/pt\/polinomio-oposto\/","name":"Polin\u00f4mio Oposto - Matoridade","isPartOf":{"@id":"https:\/\/mathority.org\/pt\/#website"},"datePublished":"2023-07-06T10:39:39+00:00","dateModified":"2023-07-06T10:39:39+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/pt\/polinomio-oposto\/#breadcrumb"},"inLanguage":"pt-BR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/pt\/polinomio-oposto\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/pt\/polinomio-oposto\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/pt\/"},{"@type":"ListItem","position":2,"name":"Polin\u00f4mio oposto"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/pt\/#website","url":"https:\/\/mathority.org\/pt\/","name":"Mathority","description":"Onde a curiosidade encontra o c\u00e1lculo!","publisher":{"@id":"https:\/\/mathority.org\/pt\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/pt\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pt-BR"},{"@type":"Organization","@id":"https:\/\/mathority.org\/pt\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/pt\/","logo":{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/mathority.org\/pt\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/pt\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/pt\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/pt\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/pt\/#\/schema\/person\/26defeb7b79f5baaedafa33a1ac6ac00","name":"Equipe Mathoridade","image":{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/mathority.org\/pt\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g","caption":"Equipe Mathoridade"},"sameAs":["http:\/\/mathority.org\/pt"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/pt\/wp-json\/wp\/v2\/posts\/316","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/pt\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/pt\/wp-json\/wp\/v2\/comments?post=316"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/pt\/wp-json\/wp\/v2\/posts\/316\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/pt\/wp-json\/wp\/v2\/media?parent=316"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/pt\/wp-json\/wp\/v2\/categories?post=316"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/pt\/wp-json\/wp\/v2\/tags?post=316"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}