{"id":53,"date":"2023-09-17T07:27:21","date_gmt":"2023-09-17T07:27:21","guid":{"rendered":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/"},"modified":"2023-09-17T07:27:21","modified_gmt":"2023-09-17T07:27:21","slug":"perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/","title":{"rendered":"Perkalian (atau perkalian) polinomial"},"content":{"rendered":"<p>Di halaman ini Anda akan mempelajari cara mengalikan polinomial. Anda juga akan dapat melihat contoh perkalian polinomial dan, sebagai tambahan, latihan yang diselesaikan langkah demi langkah. Terakhir, Anda akan mengetahui apa saja sifat-sifat perkalian polinomial. <\/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\/comment-multiplier-2-polynomes.png\" alt=\"cara mengalikan polinomial\" class=\"wp-image-586\" width=\"216\" height=\"217\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Namun untuk memahami konsep perkalian polinomial secara utuh, kita akan beralih dari yang paling dasar ke yang paling rumit, yaitu kita akan mulai dengan cara mengalikan polinomial dengan suatu bilangan, kemudian kita akan melihat cara mengalikan polinomial dengan suatu bilangan. monomial dan, terakhir, kami akan menjelaskan cara mengalikan dua atau lebih polinomial.<\/p>\n<p> Saya menyarankan Anda untuk mengikuti urutan ini, tetapi jika Anda merasa sudah menguasai operasi dengan polinomial sebelumnya, Anda dapat langsung melanjutkan ke perkalian antar polinomial dengan mengklik indeks: <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-un-polinomio-por-un-numero\"><\/span> Kalikan polinomial dengan angka<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Hasil kali skalar (atau bilangan) dan polinomial cukup mudah diselesaikan, cukup <strong>kalikan bilangan tersebut dengan koefisien setiap suku polinomial tersebut<\/strong> . <\/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\/nombre-de-multiplication-par-polynome.jpg\" alt=\"perkalian suatu bilangan dengan polinomial\" class=\"wp-image-593\" width=\"305\" height=\"150\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Tanda perkalian di depan tanda kurung bisa dihilangkan. <\/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-794a3972ecb155b810fc6833caa7d1a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} 2\\cdot (5x^4-6x^2) =  \\\\[2ex] =2 (5x^4-6x^2)= \\\\[2ex] = 10x^4-12x^2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"134\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-un-polinomio-por-un-monomio\"><\/span> Mengalikan polinomial dengan monomial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Sebelum melihat cara mengalikan polinomial dengan monomial, kita ingat dulu cara mengalikan monomial satu sama lain, karena Anda perlu mengetahuinya untuk dapat melakukan operasi polinomial jenis ini.<\/p>\n<p> Hasil kali dua monomial terdiri dari mengalikan koefisiennya satu sama lain dan bagian literalnya satu sama lain, yaitu koefisien monomial dikalikan dan eksponen variabel yang mempunyai basis yang sama dijumlahkan. Lihatlah contoh 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-1a80e193c5d8ecc70d1435dbd2ebea1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2 \\cdot 4x^5 = (3\\cdot 4) x^{2+5} = 12x^7\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"228\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Sekarang mari kita lihat cara mengalikan monomial dengan polinomial:<\/p>\n<p class=\"has-background\" style=\"background-color:#ffebee\"> Dalam matematika, untuk menyelesaikan <strong>perkalian monomial dengan polinomial,<\/strong> monomial dikalikan dengan setiap suku dalam polinomial tersebut. <\/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\/multiplication-d-un-polynome-par-un-monome.jpg\" alt=\"perkalian polinomial dengan monomial\" class=\"wp-image-601\" width=\"407\" height=\"220\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Seperti sebelumnya, tanda perkalian juga bisa dihilangkan:<\/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-f3c8bf0b635315032c46506aee223e29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} -4x \\cdot (2x^3-5x^2)= \\\\[2ex] =-4x (2x^3-5x^2)=\\\\[2ex] = -4x\\cdot 2x^3 -4x \\cdot (-5x^2) = \\\\[2ex] =-8x^4 +20x^3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"217\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Perhatikan pada contoh sebelumnya bahwa ketika mengalikan monomial atau polinomial, Anda juga harus memperhitungkan aturan tanda. Faktanya, kesalahan yang sangat umum ketika mengalikan monomial dan polinomial adalah kesalahan dalam memberi tanda pada suatu suku.<\/p>\n<p> Pastinya suatu saat, ketika Anda melihat sesuatu yang baru dalam matematika, Anda bertanya pada diri sendiri: <span style=\"text-decoration: underline;\">untuk apa<\/span> ? Nah, perkalian jenis ini digunakan untuk mendapatkan <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/ekstrak-latihan-ekstrak-contoh-penyelesaian-faktor-umum\/\">faktor persekutuan dari suatu polinomial<\/a><\/span><\/strong> , sebuah operasi yang memungkinkan Anda menyederhanakan polinomial (sangat berguna). Anda dapat melihat apa itu dan bagaimana faktor persekutuan suatu polinomial dihitung di tautan ini.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-dos-polinomios\"><\/span> Perkalian dua polinomial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita mengetahui cara mengalikan polinomial dengan bilangan dan monomial, mari kita lihat apa itu polinomial dan cara mengalikan polinomial dengan polinomial. <\/p>\n<div style=\"background-color:#ffebee;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px;  border-radius:20px;\">\n<p style=\"text-align:left; margin-bottom:15px;\"> Untuk <strong>mengalikan polinomial,<\/strong> ikuti langkah-langkah berikut:<\/p>\n<ol style=\"font-weight: bold;\">\n<li style=\"margin-bottom:8px;\"> <span style=\"font-weight: normal;\">Kalikan setiap suku pada polinomial pertama dengan semua suku pada polinomial kedua.<\/span><\/li>\n<li> <span style=\"font-weight: normal;\">Menjumlahkan (atau mengurangi) monomial yang derajatnya sama (monomial sejenis).<\/span><\/li>\n<\/ol>\n<\/div>\n<p> Agar Anda dapat melihat dengan tepat apa metode ini, kami akan menyelesaikan perkalian polinomial berikut selangkah demi selangkah: <\/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\/exemples-de-multiplication-de-polynomes.jpg\" alt=\"contoh perkalian polinomial\" class=\"wp-image-618\" width=\"326\" height=\"47\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Pertama-tama, kita harus mengalikan setiap elemen dari polinomial perkalian pertama dengan setiap suku dari polinomial kedua: <\/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\/multiplication-de-polynomes.jpg\" alt=\"perkalian polinomial\" class=\"wp-image-619\" width=\"333\" height=\"224\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\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\/multiplication-de-polynomes-pas-a-pas.jpg\" alt=\"perkalian polinomial langkah demi langkah\" class=\"wp-image-620\" width=\"399\" height=\"90\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Sekarang kita lakukan semua perkalian monomial: <\/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\/produit-de-deux-polynomes.jpg\" alt=\"hasil kali dua polinomial\" class=\"wp-image-3014\" width=\"436\" height=\"50\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Setelah kita mengalikan polinomialnya, kita tinggal mengelompokkan suku-suku yang serupa, yaitu suku-suku yang memiliki huruf dan pangkat yang sama: <\/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\/multiplication-de-polynomes-par-polynomes-deux.jpg\" alt=\"perkalian polinomial dengan polinomial\" class=\"wp-image-684\" width=\"436\" height=\"116\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Oleh karena itu, hasil perkalian polinomialnya 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\/resultat-multiplication-de-polynomes.jpg\" alt=\"hasil perkalian polinomial\" class=\"wp-image-685\" width=\"288\" height=\"47\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Dan dengan cara ini kita telah menghitung perkalian polinomial. Mungkin ini tampak sangat sulit bagi Anda sekarang, namun Anda akan melihat bahwa ketika Anda berlatih dengan dua atau tiga perangkat latihan, hal itu akan jauh lebih mudah.<\/p>\n<p> Sekarang setelah Anda melihat cara menyelesaikan perkalian antara dua polinomial, Anda mungkin tertarik untuk mengetahui <strong><span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/pembagian-polinomial-contoh-latihan-yang-diselesaikan-membagi\/\">cara membagi polinomial<\/a><\/span><\/strong> . Faktanya, membagi polinomial jauh lebih rumit daripada mengalikannya, oleh karena itu kami telah menjelaskan prosedur (dan tips\ud83d\ude09) langkah demi langkah agar Anda dapat memahaminya sepenuhnya. Jika Anda tertarik, klik tautan ini untuk melihat cara pembagian polinomial. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Multiplicacion-de-polinomios-vertical\"><\/span> Perkalian polinomial vertikal<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Kita baru saja melihat cara mengalikan polinomial dengan polinomial lain secara horizontal, tetapi ini juga dapat dilakukan dengan cara yang lebih klasik: mengalikan polinomial secara vertikal. Mari kita lihat bagaimana metode ini digunakan dengan menyelesaikan contoh perkalian polinomial.<\/p>\n<p> Jika kita ingin mengalikan dua polinomial berikut secara vertikal:<\/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-e5478df383296dfba5baa18b100c8f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(5x^2+3x-4) \\cdot (2x^2-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"195\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Hal pertama yang perlu kita lakukan adalah menempatkan satu polinomial di bawah polinomial lainnya, sebagai perkalian aljabar dari polinomial: <\/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\/multiplication-de-polynomes-en-ligne.jpg\" alt=\"perkalian polinomial online\" class=\"wp-image-638\" width=\"259\" height=\"71\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Kedua, kita mengalikan setiap suku polinomial di bawah dengan setiap suku polinomial di atas, dan kita mengurutkan hasilnya berdasarkan kolom dari derajat tertinggi hingga derajat terendah: <\/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\/operations-avec-polynomes-2.jpg\" alt=\"operasi dengan polinomial\" class=\"wp-image-641\" width=\"259\" height=\"149\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Dan terakhir, kami menambahkan istilah yang disejajarkan secara vertikal: <\/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\/multiplication-de-polynomes-verticaux-2.jpg\" alt=\"perkalian polinomial vertikal\" class=\"wp-image-645\" width=\"303\" height=\"193\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> Sekarang setelah Anda melihat 2 metode yang ada untuk menyelesaikan perkalian polinomial, <span style=\"text-decoration: underline;\">tahukah Anda bahwa Anda juga bisa mengalikan pecahan dengan polinomial<\/span> ? Dan tidak hanya perkalian, semua jenis operasi dapat dilakukan dengan jenis pecahan ini. Klik link ini dan cari tahu apa itu <strong><a href=\"https:\/\/mathority.org\/id\/pecahan-aljabar-operasi-yang-disederhanakan-penjumlahan-pengurangan-perkalian-pembagian-latihan-yang-diselesaikan\/\"><span style=\"text-decoration: underline;\">pecahan aljabar<\/span><\/a><\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-multiplicacion-de-polinomios\"><\/span> Sifat-sifat perkalian polinomial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Perkalian polinomial mempunyai ciri-ciri sebagai berikut:<\/p>\n<ul>\n<li> <strong>Sifat komutatif<\/strong> : urutan perkalian polinomial tidak mengubah hasil perkaliannya.<\/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-c665d7a99e0bd16f64cea1b0e4cf64b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\\cdot Q(x) = Q(x) \\cdot P(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"200\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>Sifat asosiatif<\/strong> : Jika tiga polinomial atau lebih dikalikan, hasil perkaliannya tetap sama, apa pun cara pengelompokannya:<\/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-52bdfe9c0c3f2ad39f0d4c39d492f84f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl(P(x) \\cdot Q(x)\\bigr) \\cdot R(x) =P(x) \\cdot \\bigl(Q(x) \\cdot R(x)\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"330\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>Sifat distributif<\/strong> : jumlah dua polinomial dikalikan sepertiga sama dengan jumlah setiap penjumlahan dikalikan polinomial 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-f71d8843b4fe23db9bb5d4211e5c666b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x)\\cdot \\bigl(Q(x)+ R(x)\\bigr) = P(x)\\cdot Q(x) + P(x) \\cdot R(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"385\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>Derajat polinomial<\/strong> hasil perkalian dua polinomial sama dengan jumlah derajat kedua polinomial yang dikalikan tersebut. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejercicios-resueltos-de-multiplicaciones-de-polinomios\"><\/span> Latihan soal perkalian polinomial<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agar Anda dapat berlatih, saya tinggalkan beberapa latihan yang telah diselesaikan tentang perkalian polinomial. Anda dapat mencoba menyelesaikannya sendiri dan memeriksa hasil Anda dengan solusi yang diusulkan. Anda kemudian dapat menanyakan semua pertanyaan Anda kepada kami di komentar, kami akan dengan senang hati membantu Anda.<\/p>\n<h3 class=\"wp-block-heading\"> Latihan 1<\/h3>\n<p> Hitung hasil kali antara polinomial dan skalar 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-0f92bb2fcd1e07268914dabfd501f2c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 4\\cdot (2x^3-4x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" 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-e60e195551af280adac6e4702910db91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -3 \\cdot (-5x^2+9x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"163\" 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-d268a16fd753852a5a84c74273f29fef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 5\\cdot(3x^2+4x-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-38aa478170ace73944926daa05e12542_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -6\\cdot(4x^5-6x^3+8x^2-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"237\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menghitung perkalian suatu polinomial dengan suatu bilangan, Anda harus mengalikan bilangan tersebut dengan koefisien setiap elemen polinomial tersebut. 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-b6d1103f19b04ce291474f9132a99591_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 4\\cdot (2x^3-4x) =4 \\cdot 2x^3 -4\\cdot 4x = \\bm{8x^3-16x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"363\" 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-2b7bbf5ca26a7268c5d0bd8e2562b626_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -3 \\cdot (-5x^2+9x) = -3 \\cdot (-5x^2)-3\\cdot 9x = \\bm{15x^2-27x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"448\" 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-20ae447b3f91baaa2df40e25daa0c903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ 5\\cdot(3x^2+4x-7) = \\bm{15x^2+20x-35}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"306\" 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-42b8fc68ebd70896b62f90ace9face1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ -6\\cdot(4x^5-6x^3+8x^2-7) = \\bm{-24x^5+36x^3-48x^2+42}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"463\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 2<\/h3>\n<p> Selesaikan perkalian antara polinomial dan monomial 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-df50faa770714f4103aa8dc60e152141_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x \\cdot (5x^2+3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"128\" 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-762c5f0cf37df0a8c369ee984a31af27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -4x^2 \\cdot (6x^4-9x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"174\" 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-d5f1f0d9cbc6c9e1681a3ff5388c912b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -5x^3\\cdot (-2x^3+2x^2-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"219\" 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-824570c27cee0bc747658a3787656c77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 3x^2\\cdot(7x^6-4x^5-x^3-3x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"234\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menyelesaikan perkalian polinomial dengan monomial, Anda harus mengalikan monomial tersebut dengan setiap suku polinomial tersebut. 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-daea6b99a13b2ffe30a29038625c0a02_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ 2x \\cdot (5x^2+3) = 2x \\cdot 5x^2+2x\\cdot 3 = \\bm{10x^3+6x}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"373\" 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-c103ea01b567a19443fb7838f496c221_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ -4x^2 \\cdot (6x^4-9x^2)= -4x^2 \\cdot 6x^4 - 4x^2 \\cdot (-9x^2) = \\bm{-24x^6+36x^4}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"524\" 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-a0139e2d94ec7f2a5cc7977b98dd5fee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ -5x^3\\cdot (-2x^3+2x^2-5) = \\bm{10x^6-10x^5+25x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"393\" 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-33e8cdad53a820136961a772110b145a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{D)} \\ 3x^2\\cdot(7x^6-4x^5-x^3-3x) = \\bm{21x^8-12x^7-3x^5-9x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"447\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 3<\/h3>\n<p> Tentukan hasil perkalian antar 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-c07caa45f98a46549dc6a287e17ef7de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (4x^2 + 1) \\cdot (3x^2-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"180\" 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-9aa3b703bd962c40a809d7ab39cbcf71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (-3x^4+2x) \\cdot (5x^4-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"204\" 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-bc728e8353b0d812f089519ae3f5d0b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (2x^3-5x^2)\\cdot (4x-7)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menghitung perkalian dua polinomial, kita perlu mengalikan setiap elemen polinomial pertama dengan setiap elemen polinomial kedua dan kemudian mengelompokkan suku-suku sejenisnya. 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-51dbb4634996039c3b67ce506aef648c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ \\begin{array}{l} (4x^2 + 1) \\cdot (3x^2-2) = \\\\[2ex] =4x^2 \\cdot 3x^2 +4x^2\\cdot (-2) +1 \\cdot 3x^2 +1 \\cdot (-2) = \\\\[2ex] = 12x^4-8x^2+3x^2 -2 = \\\\[2ex] = \\bm{12x^4-5x^2-2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"127\" width=\"475\" style=\"vertical-align: 0px;\"><\/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-fba45efd14a187f0eaa210f0561c68a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ \\begin{array}{l} (-3x^4+2x) \\cdot (5x^4-x) = \\\\[2ex] =-3x^4\\cdot 5x^4 -3x^4\\cdot (-x) +2x \\cdot 5x^4 +2x \\cdot (-x) = \\\\[2ex] = -15x^8+3x^5+10x^5-2x^2 = \\\\[2ex] = \\bm{-15x^8+13x^5-2x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"511\" style=\"vertical-align: 0px;\"><\/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-32417206d212f4b5ee2a6fb53aa77f30_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{C}\\bm{)} \\color{black} \\ \\begin{array}{l} (2x^3-5x^2)\\cdot (4x-7) = \\\\[2ex] =2x^3\\cdot 4x +2x^3\\cdot (-7) -5x^2 \\cdot 4x -5x^2\\cdot (-7) = \\\\[2ex] = 8x^4-14x^3-20x^3+35x^2 = \\\\[2ex] = \\bm{8x^4-34x^3+35x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"495\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 4<\/h3>\n<p> Temukan hasil perkalian antar 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-0188425573536d87f56b088fd732e7ad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (4x^2-6x+2) \\cdot (5x^3-x^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"230\" 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-79ee0e2306fd0c362a95195b5ae595f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\ (3x^3-2x+7) \\cdot (-4x^3+5x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"244\" 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-fbda9c61d3de18e430577d8e551f8717_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (9x^4-4x^3+x^2)\\cdot (2x^5-4x^4-5x^3)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"303\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menghitung perkalian dua polinomial, kita perlu mengalikan setiap elemen polinomial pertama dengan setiap elemen polinomial kedua, lalu menjumlahkan suku-suku sejenisnya. 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-ba837feab91328dd1ac60093307a3691_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ \\begin{array}{l} (4x^2-6x+2) \\cdot (5x^3-x^2) = \\\\[2ex] =4x^2 \\cdot 5x^3 +4x^2\\cdot (-x^2) -6x \\cdot 5x^3 -6x \\cdot (-x^2) + 2 \\cdot 5x^3 +2 \\cdot (-x^2) = \\\\[2ex] = 20x^5-4x^4-30x^4+6x^3+10x^3-2x^2 = \\\\[2ex] = \\bm{20x^5-34x^4+16x^3-2x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"664\" style=\"vertical-align: 0px;\"><\/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-486aedf31fca13fd2b4af2c72a3b34a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ \\begin{array}{l} (3x^3-2x+7) \\cdot (-4x^3+5x) = \\\\[2ex] =3x^3 \\cdot (-4x^3) +3x^3\\cdot 5x -2x \\cdot (-4x^3) -2x \\cdot 5x + 7 \\cdot (-4x^3) +7 \\cdot 5x = \\\\[2ex] =-12x^6+15x^4+8x^4-10x^2-28x^3+35x = \\\\[2ex] = \\bm{-12x^6+23x^4-28x^3-10x^2+35x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"129\" width=\"667\" style=\"vertical-align: 0px;\"><\/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-81d28b9e6595a4e28d09d46bab74c467_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{C}\\bm{)} \\color{black} \\ \\begin{array}{l} (9x^4-4x^3+x^2)\\cdot (2x^5-4x^4-5x^3) =  \\\\[2ex] = 18x^9-36x^8-45x^7-8x^8+16x^7+20x^6+2x^7-4x^6-5x^5 = \\\\[2ex] = \\bm{18x^9-44x^8-27x^7+16x^6-5x^5} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"611\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 5<\/h3>\n<p> Hitung perkalian 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-41814d65cc135f30a9afb3bc966962fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{A)} \\ (2x^4+3x^3-6x^2+5x-1) \\cdot (4x^2-6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"328\" 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-f234c4e22285b278743a244145b5d551_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{B)} \\  (x^2-4x+7) \\cdot (-x^3-5x^2+2x+9)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"305\" 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-752db4ceb3d2eb78444b8551b9068510_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{C)} \\ (2x^7+6x^5+3x^4-5x^2)\\cdot (4x^6-8x^3-x^2+8)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"382\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk membuat hasil kali 2 polinomial, Anda harus mengalikan setiap suku polinomial pertama dengan setiap suku polinomial kedua, lalu mengelompokkan monomial serupa yang diperoleh. Belum: <\/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-d6d4bb6d12ab30b22cbb7cffc071093c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{A}\\bm{)} \\color{black} \\ \\begin{array}{l}(2x^4+3x^3-6x^2+5x-1) \\cdot (4x^2-6x)=  \\\\[2ex] = 8x^6-12x^5+12x^5-18x^4-24x^4+36x^3+20x^3-30x^2-4x^2+6x  = \\\\[2ex] = \\bm{8x^6-42x^4+56x^3-34x^2+6x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"670\" style=\"vertical-align: 0px;\"><\/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-efacae5cc2c79ff47d4bca96ab082eb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{B}\\bm{)} \\color{black} \\ \\begin{array}{l} (x^2-4x+7) \\cdot (-x^3-5x^2+2x+9)= \\\\[2ex] =-x^5-5x^4+2x^3+9x^2+4x^4+20x^3-8x^2-36x-7x^3-35x^2+14x+63 = \\\\[2ex] = \\bm{-x^5-x^4+15x^3-34x^2-22x+63} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"727\" style=\"vertical-align: 0px;\"><\/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-2b27ccbbd6344d296250e7dc9f3fbbbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{blue} \\mathbf{C}\\bm{)} \\color{black} \\ \\begin{array}{l} (2x^7+6x^5+3x^4-5x^2)\\cdot (4x^6-8x^3-x^2+8) =  \\\\[2ex] = 8x^{13}-16x^{10}-2x^9+16x^7+24x^{11}-48x^8-6x^7+48x^5+ \\\\[2ex] + \\ 12x^{10}-24x^7-3x^6+24x^4-20x^8+40x^5+5x^4-40x^2  = \\\\[2ex] = \\bm{8x^{13}+24x^{11}-4x^{10}-2x^9-68x^8-14x^7-3x^6+} \\\\[2ex] \\bm{+ \\ 88x^5+29x^4-40x^2} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"579\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 6<\/h3>\n<p> Selesaikan perkalian 3 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-3744967e658727129d7b2bc4b4b61ce1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(2x^2-3) \\cdot (-5x^4+3x^2-6) \\cdot (9x^3-6x)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"309\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Pengoperasian soal terdiri dari 2 perkalian polinomial, lebih tepatnya terdiri dari dua binomial dan satu trinomial. Jadi, pertama-tama kita perlu menyelesaikan suatu hasil kali, lalu mengalikan hasilnya dengan polinomial yang tersisa.<\/p>\n<p class=\"has-text-align-left\"> Oleh karena itu kami menghitung perkalian pertama:<\/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-c9860e611d9fee24111ec42d5451366f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} (2x^2-3) \\cdot (-5x^4+3x^2-6) \\cdot (9x^3-6x) = \\\\[2ex] = \\bigl[-10x^6+6x^4-12x^2+15x^4-9x^2+18 \\bigr]\\cdot (9x^3-6x) = \\\\[2ex] = (-10x^6+21x^4-21x^2+18)\\cdot (9x^3-6x)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"445\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan sekarang kita selesaikan perkalian yang tersisa: <\/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-a4280995c52ffc8cd833b76b72584c96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l} (-10x^6+21x^4-21x^2+18)\\cdot (9x^3-6x)= \\\\[2ex] = -90x^9+60x^7+189x^7-126x^5-189x^5+126x^3+162x^3-108x \\\\[2ex] =\\bm{-90x^9+249x^7-315x^5+288x^3-108x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"514\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Latihan 7<\/h3>\n<p> Kalikan polinomial berikut dengan koefisien rasional (dengan pecahan): <\/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-11d24f04770e3eddbb35c4330f593994_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( \\frac{1}{3}x^2- 4x \\right) \\cdot  \\left( 5x- \\frac{2}{7} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"184\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__DDF5FF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#DDF5FF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>Lihat solusinya<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Meskipun polinomial memiliki pecahan, namun tetap merupakan perkalian antara dua polinomial. Oleh karena itu, penyelesaiannya harus sama seperti perkalian polinomial lainnya: kalikan semua elemen, lalu kelompokkan monomial serupa.<\/p>\n<p class=\"has-text-align-left\"> Oleh karena itu, kami mengalikan polinomialnya:<\/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-6e144cee08d9d9a02af24c2338c5d37c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{array}{l} \\displaystyle\\left( \\frac{1}{3}x^2- 4x \\right) \\cdot \\left( 5x- \\frac{2}{7} \\right) = \\\\[4ex] = \\displaystyle\\frac{1}{3}x^2 \\cdot 5x +\\frac{1}{3}x^2\\cdot \\left(- \\frac{2}{7} \\right) -4x \\cdot 5x - 4x \\cdot \\left(- \\frac{2}{7} \\right)  = \\\\[4ex] =\\displaystyle \\frac{5}{3}x^3 -\\frac{2}{21}x^2 -20x^2+\\frac{8}{7} x\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"161\" width=\"395\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan terakhir, kita tambahkan (atau kurangi) suku-suku yang bagian literalnya identik:<\/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-54b9cfbdee75b2c0d95499f25b6547ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\displaystyle \\frac{5}{3}x^3 -\\frac{2}{21}x^2 -20x^2+\\frac{8}{7} x= \\\\[4ex] \\displaystyle= \\frac{5}{3}x^3 -\\frac{2}{21}x^2 -\\frac{420}{21}x^2+\\frac{8}{7} x \\\\[4ex] \\displaystyle=\\mathbf{\\frac{5}{3}}\\bm{x^3} -\\mathbf{\\frac{422}{20}}\\bm{x^2}+\\mathbf{\\frac{8}{7}} \\bm{x} \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"159\" width=\"225\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Agar berhasil menyelesaikan latihan ini, penting bagi Anda untuk menguasai operasi pecahan. Namun jika Anda memiliki pertanyaan tentang langkah apa pun, Anda dapat menanyakannya di komentar dan kami akan menjawabnya secepat mungkin. <\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<div id=\"ezoic-pub-ad-placeholder-176\" data-inserter-version=\"-1\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Di halaman ini Anda akan mempelajari cara mengalikan polinomial. Anda juga akan dapat melihat contoh perkalian polinomial dan, sebagai tambahan, latihan yang diselesaikan langkah demi langkah. Terakhir, Anda akan mengetahui apa saja sifat-sifat perkalian polinomial. Namun untuk memahami konsep perkalian polinomial secara utuh, kita akan beralih dari yang paling dasar ke yang paling rumit, yaitu &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\"> <span class=\"screen-reader-text\">Perkalian (atau perkalian) polinomial<\/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":[48],"tags":[],"class_list":["post-53","post","type-post","status-publish","format-standard","hentry","category-polinomial"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Cara mengalikan polinomial (latihan terselesaikan)<\/title>\n<meta name=\"description\" content=\"Penjelasan kedua cara mengalikan polinomial. \u2705 Latihan soal perkalian polinomial (atau hasil kali polinomial).\" \/>\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\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Cara mengalikan polinomial (latihan terselesaikan)\" \/>\n<meta property=\"og:description\" content=\"Penjelasan kedua cara mengalikan polinomial. \u2705 Latihan soal perkalian polinomial (atau hasil kali polinomial).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-17T07:27:21+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-multiplier-2-polynomes.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=\"5 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Perkalian (atau perkalian) polinomial\",\"datePublished\":\"2023-09-17T07:27:21+00:00\",\"dateModified\":\"2023-09-17T07:27:21+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\"},\"wordCount\":1096,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Polinomial\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\",\"url\":\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\",\"name\":\"\u25b7 Cara mengalikan polinomial (latihan terselesaikan)\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/#website\"},\"datePublished\":\"2023-09-17T07:27:21+00:00\",\"dateModified\":\"2023-09-17T07:27:21+00:00\",\"description\":\"Penjelasan kedua cara mengalikan polinomial. \u2705 Latihan soal perkalian polinomial (atau hasil kali polinomial).\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Perkalian (atau perkalian) polinomial\"}]},{\"@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":"\u25b7 Cara mengalikan polinomial (latihan terselesaikan)","description":"Penjelasan kedua cara mengalikan polinomial. \u2705 Latihan soal perkalian polinomial (atau hasil kali polinomial).","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\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/","og_locale":"id_ID","og_type":"article","og_title":"\u25b7 Cara mengalikan polinomial (latihan terselesaikan)","og_description":"Penjelasan kedua cara mengalikan polinomial. \u2705 Latihan soal perkalian polinomial (atau hasil kali polinomial).","og_url":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/","article_published_time":"2023-09-17T07:27:21+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-multiplier-2-polynomes.png"}],"author":"Tim Mathority","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Tim Mathority","Estimasi waktu membaca":"5 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/"},"author":{"name":"Tim Mathority","@id":"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38"},"headline":"Perkalian (atau perkalian) polinomial","datePublished":"2023-09-17T07:27:21+00:00","dateModified":"2023-09-17T07:27:21+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/"},"wordCount":1096,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/id\/#organization"},"articleSection":["Polinomial"],"inLanguage":"id","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/","url":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/","name":"\u25b7 Cara mengalikan polinomial (latihan terselesaikan)","isPartOf":{"@id":"https:\/\/mathority.org\/id\/#website"},"datePublished":"2023-09-17T07:27:21+00:00","dateModified":"2023-09-17T07:27:21+00:00","description":"Penjelasan kedua cara mengalikan polinomial. \u2705 Latihan soal perkalian polinomial (atau hasil kali polinomial).","breadcrumb":{"@id":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/id\/perkalian-polinomial-contoh-latihan-perkalian-hasil-perkalian\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/id\/"},{"@type":"ListItem","position":2,"name":"Perkalian (atau perkalian) polinomial"}]},{"@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\/53","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=53"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/posts\/53\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/media?parent=53"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/categories?post=53"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/id\/wp-json\/wp\/v2\/tags?post=53"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}