{"id":317,"date":"2023-07-06T10:39:39","date_gmt":"2023-07-06T10:39:39","guid":{"rendered":"https:\/\/mathority.org\/id\/polinomial-yang-berlawanan\/"},"modified":"2023-07-06T10:39:39","modified_gmt":"2023-07-06T10:39:39","slug":"polinomial-yang-berlawanan","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/polinomial-yang-berlawanan\/","title":{"rendered":"Polinomial berlawanan"},"content":{"rendered":"<p>Di halaman ini kami menjelaskan apa itu polinomial lawan kata. Selain itu, kami juga akan menampilkan beberapa contoh polinomial jenis ini agar Anda mengetahui dengan jelas kapan dua polinomial berseberangan. Terakhir, Anda juga akan melihat cara menentukan kebalikan dari suatu polinomial. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-el-polinomio-opuesto\"><\/span> Apa kebalikan dari polinomial?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Pengertian polinomial lawannya adalah sebagai berikut:<\/p>\n<p> <strong>Dalam matematika, dua polinomial adalah berlawanan jika koefisien suku-suku yang berderajat sama berlawanan, yaitu bernilai sama tetapi tandanya berlawanan.<\/strong><\/p>\n<p> Sehingga dua polinomial saling bertentangan apabila keduanya hanya berbeda tanda monomialnya saja, yang saling berlawanan.<\/p>\n<p> Misalnya, 2 polinomial berikut ini berlawanan:<\/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> Polinomial P(x) dan polinomial Q(x) berlawanan karena koefisien suku-suku yang berderajat sama adalah sama tetapi berubah tanda.<\/p>\n<p> Jika Anda sudah sampai sejauh ini, saya asumsikan Anda sudah mengetahui apa itu koefisien suatu polinomial, namun yang hanya diketahui sedikit orang adalah berapa <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/koefisien-utama-suatu-polinomial\/\">koefisien utama suatu polinomial<\/a><\/span><\/strong> (dan ini merupakan karakteristik penting dari polinomial). Saya akan meninggalkan tautan ini untuk Anda jika Anda masih belum tahu apa itu. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-polinomios-opuestos\"><\/span> Contoh Polinomial Berlawanan<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita mengetahui arti dari polinomial lawannya, kita akan melihat beberapa contoh polinomial jenis ini untuk melengkapi pemahaman konsepnya.<\/p>\n<ul>\n<li> Contoh polinomial berlawanan derajat 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> Contoh polinomial berlawanan 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-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> Contoh polinomial berlawanan derajat 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> Di sisi lain, kita dapat menyimpulkan bahwa salah satu sifat polinomial yang berlawanan adalah nilai numeriknya untuk nilai yang sama adalah sama tetapi tandanya berubah. Properti ini penting agar Anda memahaminya dengan baik, jadi saya meninggalkan Anda tautan berikut di mana <a href=\"https:\/\/mathority.org\/id\/nilai-numerik-dari-contoh-polinomial-latihan-yang-diselesaikan\/\"><strong><span style=\"text-decoration: underline;\">nilai numerik<\/span><\/strong><\/a> dijelaskan jika Anda tidak tahu apa itu. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Como-hallar-el-opuesto-de-un-polinomio\"><\/span> Cara mencari kebalikan dari polinomial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Terakhir, kami akan menjelaskan cara mendapatkan kebalikan dari polinomial. Untuk melakukan ini, kami akan menyelesaikan latihan langkah demi langkah:<\/p>\n<ul>\n<li> Apa kebalikan dari polinomial berikut?<\/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> Untuk menghitung kebalikan suatu polinomial, cukup ubah tanda positif menjadi tanda negatif dan sebaliknya. JADI:<\/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> Perhatikan bahwa ini sama dengan mengalikan seluruh polinomial dengan -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> Setelah Anda mengetahui arti dari polinomial berlawanan, Anda mungkin ingin mengetahui cara melakukan operasi dengan polinomial tersebut. Nah, salah satu operasi polinomial yang paling aneh (dan juga paling berguna) adalah<strong><a href=\"https:\/\/mathority.org\/id\/ekstrak-latihan-ekstrak-contoh-penyelesaian-faktor-umum\/\"><span style=\"text-decoration: underline;\">faktor persekutuan<\/span><\/a><\/strong> . Dengan mengklik link ini Anda dapat melihat cara mengekstrak faktor persekutuan dari polinomial dan, sebagai tambahan, Anda dapat berlatih dengan latihan yang diselesaikan.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Di halaman ini kami menjelaskan apa itu polinomial lawan kata. Selain itu, kami juga akan menampilkan beberapa contoh polinomial jenis ini agar Anda mengetahui dengan jelas kapan dua polinomial berseberangan. Terakhir, Anda juga akan melihat cara menentukan kebalikan dari suatu polinomial. Apa kebalikan dari polinomial? Pengertian polinomial lawannya adalah sebagai berikut: Dalam matematika, dua polinomial &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/polinomial-yang-berlawanan\/\"> <span class=\"screen-reader-text\">Polinomial berlawanan<\/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-317","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 Berlawanan - 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-yang-berlawanan\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Polinomial Berlawanan - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di halaman ini kami menjelaskan apa itu polinomial lawan kata. 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