{"id":322,"date":"2023-07-06T08:39:49","date_gmt":"2023-07-06T08:39:49","guid":{"rendered":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/"},"modified":"2023-07-06T08:39:49","modified_gmt":"2023-07-06T08:39:49","slug":"polinomial-yang-sama","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/","title":{"rendered":"Polinomial yang sama"},"content":{"rendered":"<p>Di sini Anda akan menemukan penjelasan tentang persamaan dua polinomial. Anda juga akan dapat melihat beberapa contoh polinomial yang sama dan, sebagai tambahan, sifat-sifat polinomial jenis ini. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFCuando-dos-polinomios-son-iguales\"><\/span> Kapan dua polinomial sama?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Pengertian polinomial sama adalah sebagai berikut:<\/p>\n<p> <strong>Dua polinomial dikatakan sama jika keduanya mempunyai derajat yang sama dan terlebih lagi, koefisien suku-suku yang berderajat sama juga identik.<\/strong><\/p>\n<p> Misalnya, dua polinomial berikut ini sama:<\/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-8a0299034a83843a3663cf19ec234bf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = x^4+3x^2-7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" 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-ba81ebb0cdd47d643d5b20484699c076_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 3x^2+x^4-7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"158\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> 2 polinomial sebelumnya sama satu sama lain karena keduanya berderajat 4 dan nilai koefisien suku-sukunya sama: koefisien suku-suku derajat keempat adalah 1, koefisien suku-suku monomial derajat kedua adalah 3, dan koefisien Elemen berderajat nol (suku bebas) adalah -7.<\/p>\n<p> Salah satu penerapan polinomial sama adalah sangat berguna untuk <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/pecahan-aljabar-operasi-yang-disederhanakan-penjumlahan-pengurangan-perkalian-pembagian-latihan-yang-diselesaikan\/\">menyederhanakan pecahan aljabar<\/a><\/span><\/strong> . Meskipun menyederhanakan pecahan aljabar adalah prosedur yang rumit, prosedur ini menjadi lebih mudah jika polinomial yang menyusun pecahan tersebut sama. Anda dapat melihat bagaimana pecahan aljabar disederhanakan dengan mengklik link. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-polinomios-iguales\"><\/span> Contoh polinomial yang sama<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita mengetahui arti dari dua polinomial yang sama, kita akan melihat beberapa contoh polinomial jenis ini untuk menyelesaikan pemahaman konsepnya:<\/p>\n<ul>\n<li> Polinomial yang sama derajat 3:<\/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-03c5dba295b352c1d711f5b7be05bd00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 2x^3-5x^2+9x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"208\" 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-72963c14d81b24e4962d2baff09e8dc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 2x^3+9x+3-5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Polinomial yang sama derajat 4:<\/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-426c96c3c2fe57e8c8730dd9a9d4a3fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = -x^4+7x^3-2x-10\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"222\" 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-aee695401a09e4b83971237d2aaf6f63_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = -10-x^4+7x^3-2x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Polinomial yang sama derajat 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-082b4003e32b0f409edc0f10464f3853_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 5x^6+4x^5-3x^2-x+8\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" 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-5ca6018077e6302d65ec3ad73047c63a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = 5x^6+8-x+4x^5-3x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Polinomios-iguales-y-semejantes\"><\/span> Polinomial yang sama dan serupa<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Anda pasti sudah menguasai pengertian polinomial sama rata. Namun perlu diperhatikan bahwa polinomial yang sama tidak boleh tertukar dengan polinomial serupa.<\/p>\n<p> <strong>Perbedaan antara polinomial yang sama dan polinomial yang serupa<\/strong> adalah bahwa suku-suku dari polinomial yang sama harus sama persis (seperti namanya), sebaliknya, polinomial yang serupa adalah polinomial yang suku-sukunya memiliki bagian literal yang sama tetapi belum tentu memiliki bagian literal. koefisien yang sama.<\/p>\n<p> Misalnya, dua polinomial berikut serupa karena semua monomial yang derajatnya setara mempunyai bagian literal yang sama, namun koefisiennya tidak sama:<\/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-e6a38c78f1ee443340e77b2985e2f178_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 2x^5-3x^3+4x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"207\" 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-2c74511ea7e56b6bc21e6d0906e0006d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(x) = x^5+2x^3+7x-6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, semua polinomial yang sama juga merupakan polinomial serupa, karena semua sukunya yang berderajat sama mempunyai bagian literal yang sama. Sebaliknya, polinomial serupa tidak harus sama. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-los-polinomios-iguales\"><\/span> Sifat-sifat polinomial yang sama<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Semua polinomial yang sama memenuhi karakteristik berikut sehubungan dengan operasi satu sama lain:<\/p>\n<ul>\n<li> Mengurangi dua polinomial yang sama menghasilkan polinomial nol (atau nol).<\/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-9df72f4b4014dbd556109a24a083c827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) - P(x) = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"130\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Jika Anda ragu tentang cara melakukannya, di tautan berikut Anda dapat melihat cara menghitung <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/pengurangan-polinomial-contoh-latihan-pengurangan-yang-diselesaikan\/\">pengurangan polinomial<\/a><\/span><\/strong> . Di sana Anda akan menemukan penjelasan tentang dua metode yang ada untuk mengurangkan polinomial (vertikal dan horizontal) dan Anda akan dapat berlatih dengan latihan yang diselesaikan langkah demi langkah.<\/p>\n<ul>\n<li> Jumlah dua polinomial yang sama sama dengan mengalikan salah satu polinomial tersebut dengan 2.<\/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-2ad67b140c30f1d2975bb3078df7f247_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) +P(x) = 2P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"167\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Jika Anda belum sepenuhnya memahami bagaimana kedua operasi ini dilakukan, saya tinggalkan halaman berikut yang menjelaskan cara <a href=\"https:\/\/mathority.org\/id\/jumlah-contoh-polinomial-yang-diselesaikan-latihan-penjumlahan\/\"><strong><span style=\"text-decoration: underline;\">menjumlahkan polinomial<\/span><\/strong><\/a> dan cara <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\">mengalikan polinomial<\/a><\/span><\/strong> . Pada masing-masing dua halaman ini, Anda akan dapat melihat contoh, berlatih dengan latihan yang telah diselesaikan, dan menemukan properti dari setiap operasi.<\/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 persamaan dua polinomial. Anda juga akan dapat melihat beberapa contoh polinomial yang sama dan, sebagai tambahan, sifat-sifat polinomial jenis ini. Kapan dua polinomial sama? Pengertian polinomial sama adalah sebagai berikut: Dua polinomial dikatakan sama jika keduanya mempunyai derajat yang sama dan terlebih lagi, koefisien suku-suku yang berderajat sama &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/polinomial-yang-sama\/\"> <span class=\"screen-reader-text\">Polinomial yang sama<\/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-322","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 yang sama - Mathoritas<\/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-yang-sama\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Polinomial yang sama - Mathoritas\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan penjelasan tentang persamaan dua polinomial. 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Mathoritas","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-yang-sama\/","og_locale":"id_ID","og_type":"article","og_title":"Polinomial yang sama - Mathoritas","og_description":"Di sini Anda akan menemukan penjelasan tentang persamaan dua polinomial. Anda juga akan dapat melihat beberapa contoh polinomial yang sama dan, sebagai tambahan, sifat-sifat polinomial jenis ini. Kapan dua polinomial sama? Pengertian polinomial sama adalah sebagai berikut: Dua polinomial dikatakan sama jika keduanya mempunyai derajat yang sama dan terlebih lagi, koefisien suku-suku yang berderajat sama &hellip; Polinomial yang sama Selengkapnya &raquo;","og_url":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/","article_published_time":"2023-07-06T08:39:49+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a0299034a83843a3663cf19ec234bf0_l3.png"}],"author":"Tim Mathority","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Tim Mathority","Estimasi waktu membaca":"2 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/"},"author":{"name":"Tim Mathority","@id":"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38"},"headline":"Polinomial yang sama","datePublished":"2023-07-06T08:39:49+00:00","dateModified":"2023-07-06T08:39:49+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/"},"wordCount":426,"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-yang-sama\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/","url":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/","name":"Polinomial yang sama - Mathoritas","isPartOf":{"@id":"https:\/\/mathority.org\/id\/#website"},"datePublished":"2023-07-06T08:39:49+00:00","dateModified":"2023-07-06T08:39:49+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/id\/polinomial-yang-sama\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/id\/polinomial-yang-sama\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/id\/"},{"@type":"ListItem","position":2,"name":"Polinomial yang sama"}]},{"@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\/322","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=322"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/posts\/322\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/media?parent=322"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/categories?post=322"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/tags?post=322"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}