{"id":293,"date":"2023-07-06T17:50:07","date_gmt":"2023-07-06T17:50:07","guid":{"rendered":"https:\/\/mathority.org\/id\/polinomial-heterogen\/"},"modified":"2023-07-06T17:50:07","modified_gmt":"2023-07-06T17:50:07","slug":"polinomial-heterogen","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/polinomial-heterogen\/","title":{"rendered":"Polinomial heterogen"},"content":{"rendered":"<p>Di sini Anda akan menemukan penjelasan tentang apa itu polinomial heterogen dan selain itu Anda juga dapat melihat contoh polinomial jenis ini. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-polinomio-heterogeneo\"><\/span> Apa yang dimaksud dengan polinomial heterogen?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Definisi matematis dari polinomial heterogen adalah sebagai berikut:<\/p>\n<p> <strong>Dalam matematika, polinomial heterogen adalah polinomial yang semua sukunya tidak berderajat sama.<\/strong><\/p>\n<p> Oleh karena itu, jika paling sedikit satu monomial dari suatu polinomial tertentu mempunyai derajat yang berbeda dengan monomial lain yang merupakan bagian dari polinomial yang sama, berarti polinomial tersebut heterogen.<\/p>\n<p> Misalnya, polinomial berikut ini heterogen:<\/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-f64e4da14cab0807846e2880e36d5569_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= x^3+5x^2-4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Memang polinomial tersebut merupakan polinomial heterogen karena mempunyai suku-suku yang berderajat berbeda: x <sup>3<\/sup> berderajat 3, 5x <sup>2<\/sup> berderajat 2, dan -4 berderajat 0 karena merupakan suku bebas dan tidak mempunyai variabel.<\/p>\n<p> Sebaliknya, seperti yang perlu Anda ketahui, polinomial ini juga merupakan <a href=\"https:\/\/mathority.org\/id\/polinomial-tidak-lengkap\/\"><strong><span style=\"text-decoration: underline;\">polinomial tidak lengkap<\/span><\/strong><\/a> . Jika Anda belum memahami konsep ini, kami sarankan untuk melihat tautan ini yang berisi penjelasan tentang apa yang dimaksud dengan polinomial tidak lengkap. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-polinomios-heterogeneos\"><\/span> Contoh polinomial heterogen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita melihat pengertian aljabar dari polinomial heterogen, sekarang mari kita lihat beberapa contoh polinomial heterogen untuk melengkapi pemahaman konsepnya:<\/p>\n<ul>\n<li> Contoh polinomial heterogen dengan satu variabel<\/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-b31cf393c3f304bdd3608d01c4a05953_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)= 3x^4+2x^3+8x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"177\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Contoh polinomial heterogen dengan dua variabel:<\/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-87b36aaa563ed2b970108a9076e80586_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x,y)= x^5+3y^5+4x^2y\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"201\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Seperti yang Anda lihat pada contoh sebelumnya, polinomial heterogen juga dapat memiliki derajat yang sama. Dalam hal ini x <sup>5<\/sup> dan 3y <sup>5<\/sup> keduanya berderajat kelima, namun monomial 4x <sup>2<\/sup> y berderajat ketiga dan oleh karena itu polinomialnya heterogen karena tidak semua sukunya mempunyai derajat yang sama.<\/p>\n<ul>\n<li> Contoh polinomial heterogen 3 variabel:<\/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-3667f64b92946ae230531c3d9605395d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(a,b,c)=5a^3b^2y + 5a^5b^3y -7a^2by^4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"286\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Terakhir, perlu anda ketahui bahwa ada jenis polinomial yang karena karakteristiknya sangat berbeda dengan polinomial heterogen, yaitu polinomial homogen. Namun justru karena alasan inilah Anda perlu mengetahui perbedaan polinomial heterogen dengan polinomial homogen. Anda akan menemukannya pada penjelasan tentang apa itu <a href=\"https:\/\/mathority.org\/id\/contoh-polinomial-homogen\/\"><strong><span style=\"text-decoration: underline;\">polinomial homogen<\/span><\/strong><\/a> , selain itu Anda juga dapat melihat contoh polinomial homogen dan apa saja sifat-sifatnya.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Di sini Anda akan menemukan penjelasan tentang apa itu polinomial heterogen dan selain itu Anda juga dapat melihat contoh polinomial jenis ini. Apa yang dimaksud dengan polinomial heterogen? Definisi matematis dari polinomial heterogen adalah sebagai berikut: Dalam matematika, polinomial heterogen adalah polinomial yang semua sukunya tidak berderajat sama. Oleh karena itu, jika paling sedikit satu &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/polinomial-heterogen\/\"> <span class=\"screen-reader-text\">Polinomial heterogen<\/span> Selengkapnya &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":[65],"tags":[],"class_list":["post-293","post","type-post","status-publish","format-standard","hentry","category-jenis-polinomial"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Polinomial heterogen - Mathority<\/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\/id\/polinomial-heterogen\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Polinomial heterogen - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan penjelasan tentang apa itu polinomial heterogen dan selain itu Anda juga dapat melihat contoh polinomial jenis ini. Apa yang dimaksud dengan polinomial heterogen? Definisi matematis dari polinomial heterogen adalah sebagai berikut: Dalam matematika, polinomial heterogen adalah polinomial yang semua sukunya tidak berderajat sama. Oleh karena itu, jika paling sedikit satu &hellip; Polinomial heterogen Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/polinomial-heterogen\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T17:50:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f64e4da14cab0807846e2880e36d5569_l3.png\" \/>\n<meta name=\"author\" content=\"Tim Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tim Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/polinomial-heterogen\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/polinomial-heterogen\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Polinomial heterogen\",\"datePublished\":\"2023-07-06T17:50:07+00:00\",\"dateModified\":\"2023-07-06T17:50:07+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/polinomial-heterogen\/\"},\"wordCount\":287,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Jenis polinomial\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/polinomial-heterogen\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/polinomial-heterogen\/\",\"url\":\"https:\/\/mathority.org\/id\/polinomial-heterogen\/\",\"name\":\"Polinomial heterogen - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/#website\"},\"datePublished\":\"2023-07-06T17:50:07+00:00\",\"dateModified\":\"2023-07-06T17:50:07+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/id\/polinomial-heterogen\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/id\/polinomial-heterogen\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/id\/polinomial-heterogen\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Polinomial heterogen\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/id\/#website\",\"url\":\"https:\/\/mathority.org\/id\/\",\"name\":\"Mathority\",\"description\":\"Di mana rasa ingin tahu bertemu dengan perhitungan!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/id\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/id\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\",\"name\":\"Tim Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/mathority.org\/id\/#\/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\":\"Tim Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Polinomial heterogen - Mathority","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\/id\/polinomial-heterogen\/","og_locale":"id_ID","og_type":"article","og_title":"Polinomial heterogen - Mathority","og_description":"Di sini Anda akan menemukan penjelasan tentang apa itu polinomial heterogen dan selain itu Anda juga dapat melihat contoh polinomial jenis ini. Apa yang dimaksud dengan polinomial heterogen? Definisi matematis dari polinomial heterogen adalah sebagai berikut: Dalam matematika, polinomial heterogen adalah polinomial yang semua sukunya tidak berderajat sama. Oleh karena itu, jika paling sedikit satu &hellip; Polinomial heterogen Selengkapnya &raquo;","og_url":"https:\/\/mathority.org\/id\/polinomial-heterogen\/","article_published_time":"2023-07-06T17:50:07+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f64e4da14cab0807846e2880e36d5569_l3.png"}],"author":"Tim Mathority","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Tim Mathority","Estimasi waktu membaca":"1 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/id\/polinomial-heterogen\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/id\/polinomial-heterogen\/"},"author":{"name":"Tim Mathority","@id":"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38"},"headline":"Polinomial heterogen","datePublished":"2023-07-06T17:50:07+00:00","dateModified":"2023-07-06T17:50:07+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/id\/polinomial-heterogen\/"},"wordCount":287,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/id\/#organization"},"articleSection":["Jenis polinomial"],"inLanguage":"id","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/id\/polinomial-heterogen\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/id\/polinomial-heterogen\/","url":"https:\/\/mathority.org\/id\/polinomial-heterogen\/","name":"Polinomial heterogen - Mathority","isPartOf":{"@id":"https:\/\/mathority.org\/id\/#website"},"datePublished":"2023-07-06T17:50:07+00:00","dateModified":"2023-07-06T17:50:07+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/id\/polinomial-heterogen\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/id\/polinomial-heterogen\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/id\/polinomial-heterogen\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/id\/"},{"@type":"ListItem","position":2,"name":"Polinomial heterogen"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/id\/#website","url":"https:\/\/mathority.org\/id\/","name":"Mathority","description":"Di mana rasa ingin tahu bertemu dengan perhitungan!","publisher":{"@id":"https:\/\/mathority.org\/id\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/id\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"id"},{"@type":"Organization","@id":"https:\/\/mathority.org\/id\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/id\/","logo":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38","name":"Tim Mathority","image":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/mathority.org\/id\/#\/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":"Tim Mathority"},"sameAs":["http:\/\/mathority.org\/id"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/posts\/293","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/comments?post=293"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/posts\/293\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/media?parent=293"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/categories?post=293"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/tags?post=293"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}