{"id":295,"date":"2023-07-06T17:27:27","date_gmt":"2023-07-06T17:27:27","guid":{"rendered":"https:\/\/mathority.org\/id\/ordo-polinomial\/"},"modified":"2023-07-06T17:27:27","modified_gmt":"2023-07-06T17:27:27","slug":"ordo-polinomial","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/ordo-polinomial\/","title":{"rendered":"Polinomial terurut"},"content":{"rendered":"<p>Di halaman ini Anda akan menemukan penjelasan tentang apa itu polinomial terurut. Anda juga akan dapat melihat contoh polinomial terurut dan, sebagai tambahan, Anda akan mengetahui mengapa jenis polinomial ini begitu istimewa. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-polinomio-ordenado\"><\/span> Apa yang dimaksud dengan polinomial terurut?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Arti dari polinomial terurut adalah sebagai berikut:<\/p>\n<p> <strong>Dalam matematika, polinomial terurut adalah polinomial yang semua sukunya diurutkan dari derajat tertinggi hingga derajat terendah.<\/strong><\/p>\n<p> Contoh polinomial terurut adalah:<\/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-5bc9100452fa1b4d740496ab4bafc5b7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = x^4+5x^3-4x^2+3x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Seperti yang Anda lihat, polinomial sebelumnya diurutkan karena monomialnya disajikan dalam urutan menurun, yaitu, pertama kita memiliki x <sup>4<\/sup> yang berpangkat keempat, kedua ada 5x <sup>3<\/sup> yang berpangkat ketiga, lalu -4x <sup>2<\/sup> yang berderajat dua, lalu 3x yang merupakan derajat pertama, dan terakhir 6 yang merupakan suku bebas (derajat 0).<\/p>\n<p> Sebaliknya, <strong>polinomial tak beraturan<\/strong> adalah polinomial yang suku-sukunya tidak tertata, sehingga merupakan kebalikan dari polinomial terurut. Jadi, polinomial berikut merupakan contoh polinomial tak berurutan:<\/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-b0ed406edc9a18e5ebbee2b81ed78482_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 6x^2+5x+2x^6+4-9x^5\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"255\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u274c<\/p>\n<p> Terakhir, perlu diperhatikan bahwa ada buku matematika yang menganggap bahwa suatu polinomial terurut jika suku-sukunya ditulis dalam bentuk menaik (atau menaik), seperti polinomial berikut:<\/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-bd41ebfff7be61e57f1cc74ed2459ba4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = 2-x+6x^2+7x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"198\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Namun, lebih umum untuk merujuk pada polinomial terurut ketika suku-sukunya diurutkan dalam urutan menurun (atau menurun).<\/p>\n<p> Meskipun pengurutan polinomial tampak seperti konsep yang sangat sederhana, Anda harus tahu bahwa pengurutan polinomial sangat penting untuk melakukan operasi tertentu dengan baik. Misalnya, hasil pembagian polinomial akan salah jika polinomial tersebut tidak diurutkan dengan benar sebelum melakukan pembagian. Anda dapat membaca lebih lanjut tentang cara <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/pembagian-polinomial-contoh-latihan-yang-diselesaikan-membagi\/\">membagi polinomial<\/a><\/span> .<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-polinomios-ordenados\"><\/span> Contoh polinomial terurut<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita melihat definisi polinomial terurut, mari kita lihat beberapa contoh polinomial terurut untuk melengkapi pemahaman konsepnya:<\/p>\n<ul>\n<li> Contoh polinomial terurut dari suatu variabel tanpa suku bebas:<\/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-1a2209bfbdc2e9b0b925475f61908c0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) = x^5+2x^3+6x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"168\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Seperti yang Anda lihat pada contoh sebelumnya, polinomial terurut tidak harus memiliki semua suku di semua derajat, selama monomial di dalamnya diurutkan dengan derajat yang lebih rendah dan lebih rendah maka akan dianggap sebagai polinomial terurut. Jadi, contoh sebelumnya tidak memiliki monomial berderajat 4, monomial berderajat 2, atau suku bebas dan juga merupakan polinomial terurut.<\/p>\n<ul>\n<li> Contoh polinomial terurut monik:<\/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-0f6bfe62703a6deed0bb2468005a3183_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =x^4+3x^3-5x+7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"199\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Tahukah kamu kenapa polinomial di atas termasuk monik? \ud83e\udd14 Polinomial monik adalah jenis polinomial yang lebih berguna dibandingkan yang terlihat karena sifat-sifatnya. Saya meninggalkan tautan ini untuk Anda sehingga Anda dapat mengetahui apa itu <a href=\"https:\/\/mathority.org\/id\/polinomial-monik\/\"><span style=\"text-decoration: underline;\">polinomial satuan<\/span><\/a> dan mengetahui apa saja sifat-sifatnya.<\/p>\n<ul>\n<li> Contoh polinomial terurut dan lengkap:<\/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-5a53b527afbb33626c3b360578a2dec3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x) =3x^6+x^5-6x^4+x^3+2x^2-9x+1\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"334\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> <a href=\"https:\/\/mathority.org\/id\/polinomial-penuh\/\"><span style=\"text-decoration: underline;\">Polinomial lengkap<\/span><\/a> adalah jenis polinomial lain yang banyak digunakan dalam aljabar, pada kenyataannya, sebagian besar polinomial lengkap. Klik tautan ini dan cari tahu mengapa polinomial ini sangat umum ditemukan.<\/p>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Di halaman ini Anda akan menemukan penjelasan tentang apa itu polinomial terurut. Anda juga akan dapat melihat contoh polinomial terurut dan, sebagai tambahan, Anda akan mengetahui mengapa jenis polinomial ini begitu istimewa. Apa yang dimaksud dengan polinomial terurut? Arti dari polinomial terurut adalah sebagai berikut: Dalam matematika, polinomial terurut adalah polinomial yang semua sukunya diurutkan &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/ordo-polinomial\/\"> <span class=\"screen-reader-text\">Polinomial terurut<\/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-295","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 terurut - 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\/ordo-polinomial\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Polinomial terurut - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di halaman ini Anda akan menemukan penjelasan tentang apa itu polinomial terurut. 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