{"id":347,"date":"2023-07-06T01:55:34","date_gmt":"2023-07-06T01:55:34","guid":{"rendered":"https:\/\/mathority.org\/id\/trinomial\/"},"modified":"2023-07-06T01:55:34","modified_gmt":"2023-07-06T01:55:34","slug":"trinomial","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/trinomial\/","title":{"rendered":"Trinomial"},"content":{"rendered":"<p>Di halaman ini Anda akan menemukan penjelasan tentang apa itu trinomial. Selain itu, Anda juga dapat melihat berbagai jenis trinomial yang ada dan, sebagai tambahan, semua rumus yang terkait dengan trinomial.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-un-trinomio\"><\/span> Apa itu trinomial?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dalam matematika, pengertian trinomial adalah sebagai berikut:<\/p>\n<p> <strong>Trinomial adalah polinomial yang hanya terdiri dari tiga monomial<\/strong> . Dengan kata lain, trinomial adalah suatu persamaan aljabar yang hanya terdiri dari 3 suku berbeda yang dihubungkan dengan tanda plus (+) atau minus (-). <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/trinome.png\" alt=\"apa arti trinomial\" class=\"wp-image-2905\" width=\"159\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Kata trinomial berasal dari bahasa Yunani dan terdiri dari dua komponen leksikal ( <em>tri<\/em> dan <em>nomos<\/em> ), yang artinya sebagai berikut:<\/p>\n<ul>\n<li> <em>sort<\/em> : arti awalan 3.<\/li>\n<li> <em>nomos<\/em> : artinya bagian.<\/li>\n<\/ul>\n<p> Oleh karena itu kita dapat menyimpulkan arti trinomial: polinomial dengan tiga bagian (atau tiga monomial).<\/p>\n<p> Di sisi lain, Anda harus tahu bahwa dalam banyak kesempatan, memfaktorkan trinomial sangat berguna. Dan untuk memfaktorkan suatu polinomial terdapat beberapa prosedur seperti metode perkalian FOIL atau aturan Ruffini, namun bila trinomial dilakukan lebih cepat dengan menyelesaikan suatu persamaan. Pelajari metode ini dalam <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\">cara memfaktorkan polinomial berderajat 2<\/a><\/span><\/strong> .<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplos-de-trinomios\"><\/span> Contoh trinomial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Untuk menyelesaikan pemahaman tentang pengertian trinomial, kita akan melihat beberapa contoh polinomial jenis ini:<\/p>\n<ul>\n<li> Contoh trinomial kuadrat:<\/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-c62385e8cfd61050e46b1aeba0ce5459_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-5x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"89\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li> Contoh trinomial derajat ketiga:<\/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-1ecc6c788bc20b31d875b39629faf8af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^3+4x^2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"96\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<ul>\n<li> Contoh trinomial derajat keempat:<\/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-e406a5b6888dc32f4bc32908a3bb0c16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3x^4+x^2-8x\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"120\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Sekarang setelah kita mengetahui apa itu trinomial, kita akan melihat berbagai jenis trinomial dan cara mudah menyelesaikan operasi trinomial menggunakan rumus. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trinomio-cuadrado-perfecto\"><\/span> trinomial persegi sempurna<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Trinomial kuadrat sempurna<\/strong> , untuk singkatnya juga disebut <strong>TCP<\/strong> , adalah trinomial yang diperoleh dengan mengkuadratkan binomial, baik binomial penjumlahan atau binomial pengurangan. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/trinome-carre-parfait.png\" alt=\"selesaikan trinomial persegi sempurna\" class=\"wp-image-2553\" width=\"299\" height=\"300\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Oleh karena itu, trinomial kuadrat sempurna terdiri dari polinomial dengan dua kuadrat sempurna (akar kuadratnya eksak) dan suku lain yang merupakan hasil kali ganda dari dua kuadrat tersebut yang tandanya bisa positif atau negatif.<\/p>\n<p> Di sisi lain, harus diingat bahwa kuadrat suatu jumlah dan kuadrat selisih adalah identitas penting (atau hasil kali penting), jadi keduanya adalah rumus yang banyak digunakan dalam matematika.<\/p>\n<h3 class=\"wp-block-heading\"> Contoh:<\/h3>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b1e801a4cc4d2bf8c8691b286cba38a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+6x+9\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"89\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Contoh ini adalah trinomial kuadrat sempurna karena dalam ekspresi aljabarnya terdapat dua kuadrat sempurna, karena akar kuadrat dari<\/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-76e092d71026e8d64e9e3fc6857554cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> dan dari 9 benar :.<\/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-066a548275ed88e26557c66e450cee18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{x^2}=x\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -1px;\"><\/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-d5c9c78ea001d1be6abf9d9d58f232db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{9}=3\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"55\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> Dan, terlebih lagi, sisa suku terakhir dari trinomial tersebut<\/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-7c74faf95634edd5ba7ba54895c9aea3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"31\" style=\"vertical-align: -5px;\"><\/p>\n<p> Itu diperoleh dengan mengalikan alas dua persegi sebelumnya dan dengan 2:<\/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-96afb151877bff6626333e94ae128d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2\\cdot x \\cdot 3 = 6x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"96\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Jadi semua identitas penting dalam latihan ini 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-1b8a406baf500724d5a58e143cf05f0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2+6x+9 =(x+3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Jika diperhatikan lebih dekat, yang baru saja kita lakukan adalah memfaktorkan suatu trinomial kuadrat sempurna, karena kita berhasil memfaktorkan ekspresi trinomial tersebut. Jadi, rumus ini akan membantu Anda memfaktorkan trinomial kuadrat sempurna, tetapi jika Anda tertarik untuk memfaktorkan jenis trinomial lainnya, kami sarankan untuk memeriksa tautan di atas pada bagian <em>apa itu trinomial<\/em> (cara memfaktorkan polinomial derajat 2) .<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trinomio-al-cuadrado\"><\/span> trinomial kuadrat<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Rumus yang digunakan untuk menghitung pangkat trinomial kuadrat adalah: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/carre-dun-trinome.png\" alt=\"rumus trinomial kuadrat\" class=\"wp-image-2847\" width=\"378\" height=\"302\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> <strong>Kuadrat trinomial<\/strong> sama dengan kuadrat suku pertama, ditambah kuadrat suku kedua, ditambah kuadrat suku ketiga, ditambah dua kali suku pertama, ditambah dua kali suku pertama, ditambah dua kali suku kedua. ketiga.<\/p>\n<p> Mari kita lihat contoh menghitung kuadrat suatu trinomial:<\/p>\n<h3 class=\"wp-block-heading\"> Contoh:<\/h3>\n<ul>\n<li> Hitung trinomial berikut pangkat 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-7ee4db6a5192b7efea2342d21275e487_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^2+x+3\\right)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"101\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> Rumus kuadrat trinomial 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-a9597e2a9cf6403902d36e5ca6411045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"345\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Jadi pertama-tama kita perlu mengidentifikasi nilai parameternya<\/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-bfaed44949cf9cfbeb3445de33aabd3b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a,b\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"25\" style=\"vertical-align: -4px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> dari rumus tersebut. Dalam latihan ini<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> Timur<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-09f6edd3d7af07ab26b4a0a71c20c0b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2,\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"22\" style=\"vertical-align: -4px;\"><\/p>\n<p> koefisien<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> sesuai dengan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-038741496726a75b03e91a2e030b0287_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah istilah independen 3:<\/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-55e06f44486e75e9153a60d36e83bc37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} (a+b+c)^2\\\\[2ex] \\left(x^2+x+3\\right)^2 \\end{array} \\color{red} \\right\\} \\quad \\color{red}\\bm{\\longrightarrow}\\quad  \\color{black} \\begin{array}{c} a=x^2 \\\\[2ex] b=x \\\\[2ex] c=3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"343\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dan bila kita sudah mengetahui nilainya, cukup substitusikan nilai tersebut ke dalam rumus dan lakukan perhitungan: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-trinome-au-carre.png\" alt=\"contoh trinomial kuadrat\" class=\"wp-image-2850\" width=\"643\" height=\"224\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trinomio-al-cubo\"><\/span> trinomial potong dadu<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Rumus mencari pangkat trinomial pangkat tiga adalah sebagai berikut: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/au-cube-du-trinome.png\" alt=\"trinomial kubik homogen\" class=\"wp-image-2930\" width=\"448\" height=\"251\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Misalnya, jika kita ingin menghitung trinomial pangkat 3 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-2fb70975cf271ce076fb2377fb3844da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left(x^2+5x-3\\right)^3\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"110\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> Anda harus menggunakan rumus kubus trinomial:<\/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-19b7d561533e65f35fa951a6fa29f2d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(a+b+c)^3 = a^3+b^3+c^3+3(a+b)(a+c)(b+c)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"389\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, solusi untuk masalah ini 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-e8e31df1b63350a57495a5d29237ff06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\left(x^2+5x-3\\right)^3 &amp; = \\left(x^2\\right)^3+(5x)^3+(-3)^3+3\\left(x^2+5x\\right)\\left(x^2+(-3)\\right)\\bigl(5x+\\left(-3\\right)\\bigr) \\\\[2ex] &amp; = x^6+125x^3-27+3\\left(x^4+5x^3-3x^2-15x\\right)\\bigl(5x-3\\bigr)\\\\[2ex] &amp; = x^6+125x^3-27+3\\left(5x^5+22x^4-30x^3-66x^2+45x\\right) \\\\[2ex] &amp; = x^6+125x^3-27+15x^5+66x^4-90x^3-198x^2+135x \\\\[2ex] &amp; = \\bm{x^6+15x^5+66x^4+35x^3-198x^2+135x-27}\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"197\" width=\"602\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trinomio-de-segundo-grado\"><\/span>trinomial derajat kedua<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dalam aljabar, <strong>trinomial kuadrat<\/strong> dalam satu variabel dapat diselesaikan dengan rumus persamaan kuadrat yang terkenal, yaitu:<\/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-fa907821a9aced835d381510935a2c24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"ax^2+bx+c=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"129\" style=\"vertical-align: -2px;\"><\/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-9cdca238fce8ada66b67851d7bd9e044_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Selanjutnya kita akan menyelesaikan latihan trinomial kuadrat sebagai contoh:<\/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-aa91d7902d1dc20d7adc90f1593b1e0e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2-2x-3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"122\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Faktanya, ini adalah trinomial tingkat kedua. Oleh karena itu kita harus menerapkan rumus persamaan kuadrat:<\/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-9cdca238fce8ada66b67851d7bd9e044_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"165\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Sekarang kita harus mengidentifikasi nilai dari setiap hal yang tidak diketahui:<\/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-5c53d6ebabdbcfa4e107550ea60b1b19_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah koefisien monomial derajat tertinggi yang dalam hal ini bernilai 1,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f56d50c26583f9a035ff6b4e3c0ca5c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> sesuai dengan koefisien suku perantara yaitu -2, dan, akhirnya,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-41a04eeea923a1a0c28094a8a4680525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> mewakili istilah independen yaitu -3.<\/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-8cd9d63de4b4941f033e58ae516bb35c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a=1 \\qquad b=-2 \\qquad c=-3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"221\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Jadi, kami menerapkan rumus dengan mensubstitusi nilai yang ditemukan di sana:<\/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-478fd57bba865780094275d1d07eed4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=\\cfrac{-(-2) \\pm \\sqrt{(-2)^2 - 4\\cdot 1 \\cdot (-3)}}{2\\cdot 1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"280\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Dan terakhir, kami menghitung operasinya:<\/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-d1af7ce064d9ce80553bad53c51034ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle x=\\cfrac{+2 \\pm \\sqrt{4 +12}}{2} = \\cfrac{2\\pm \\sqrt{16}}{2} = \\cfrac{2 \\pm 4}{2} = \\begin{cases} \\cfrac{2+4}{2}=3 \\\\[4ex] \\cfrac{2-4}{2} = -1 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"431\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, solusi persamaan kuadrat 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-2e8c86a17e76085ddf1911e889e681c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = 3 \\qquad x=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/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 trinomial. Selain itu, Anda juga dapat melihat berbagai jenis trinomial yang ada dan, sebagai tambahan, semua rumus yang terkait dengan trinomial. Apa itu trinomial? Dalam matematika, pengertian trinomial adalah sebagai berikut: Trinomial adalah polinomial yang hanya terdiri dari tiga monomial . Dengan kata lain, trinomial &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/trinomial\/\"> <span class=\"screen-reader-text\">Trinomial<\/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":[53],"tags":[],"class_list":["post-347","post","type-post","status-publish","format-standard","hentry","category-trinomial"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Trinomial - 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\/trinomial\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Trinomial - Mathoritas\" \/>\n<meta property=\"og:description\" content=\"Di halaman ini Anda akan menemukan penjelasan tentang apa itu trinomial. 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Dengan kata lain, trinomial &hellip; Trinomial Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/trinomial\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-06T01:55:34+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/trinome.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=\"3 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/trinomial\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/trinomial\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Trinomial\",\"datePublished\":\"2023-07-06T01:55:34+00:00\",\"dateModified\":\"2023-07-06T01:55:34+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/trinomial\/\"},\"wordCount\":632,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Trinomial\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/trinomial\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/trinomial\/\",\"url\":\"https:\/\/mathority.org\/id\/trinomial\/\",\"name\":\"Trinomial - Mathoritas\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/#website\"},\"datePublished\":\"2023-07-06T01:55:34+00:00\",\"dateModified\":\"2023-07-06T01:55:34+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/id\/trinomial\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/id\/trinomial\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/id\/trinomial\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Trinomial\"}]},{\"@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":"Trinomial - 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\/trinomial\/","og_locale":"id_ID","og_type":"article","og_title":"Trinomial - Mathoritas","og_description":"Di halaman ini Anda akan menemukan penjelasan tentang apa itu trinomial. Selain itu, Anda juga dapat melihat berbagai jenis trinomial yang ada dan, sebagai tambahan, semua rumus yang terkait dengan trinomial. Apa itu trinomial? Dalam matematika, pengertian trinomial adalah sebagai berikut: Trinomial adalah polinomial yang hanya terdiri dari tiga monomial . Dengan kata lain, trinomial &hellip; Trinomial Selengkapnya &raquo;","og_url":"https:\/\/mathority.org\/id\/trinomial\/","article_published_time":"2023-07-06T01:55:34+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/trinome.png"}],"author":"Tim Mathority","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Tim Mathority","Estimasi waktu membaca":"3 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/id\/trinomial\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/id\/trinomial\/"},"author":{"name":"Tim Mathority","@id":"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38"},"headline":"Trinomial","datePublished":"2023-07-06T01:55:34+00:00","dateModified":"2023-07-06T01:55:34+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/id\/trinomial\/"},"wordCount":632,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/id\/#organization"},"articleSection":["Trinomial"],"inLanguage":"id","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/id\/trinomial\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/id\/trinomial\/","url":"https:\/\/mathority.org\/id\/trinomial\/","name":"Trinomial - Mathoritas","isPartOf":{"@id":"https:\/\/mathority.org\/id\/#website"},"datePublished":"2023-07-06T01:55:34+00:00","dateModified":"2023-07-06T01:55:34+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/id\/trinomial\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/id\/trinomial\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/id\/trinomial\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/id\/"},{"@type":"ListItem","position":2,"name":"Trinomial"}]},{"@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\/347","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=347"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/posts\/347\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/media?parent=347"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/categories?post=347"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/tags?post=347"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}