{"id":309289,"date":"2026-07-28T12:40:22","date_gmt":"2026-07-28T10:40:22","guid":{"rendered":"https:\/\/sherpas.com\/blog\/?p=309289"},"modified":"2026-07-29T12:51:47","modified_gmt":"2026-07-29T10:51:47","slug":"factoriser-expression","status":"publish","type":"post","link":"https:\/\/sherpas.com\/blog\/factoriser-expression\/","title":{"rendered":"Comment factoriser une expression alg\u00e9brique en maths : techniques efficaces"},"content":{"rendered":"<section class=\"you-know\"><div class=\"you-know__title\"><p>\ud83e\udde0 \u00c0 retenir :<\/p><\/div><div class=\"you-know__text\"><ul>\n<li>La factorisation permet de simplifier une expression alg\u00e9brique et d\u2019obtenir des facteurs plus simples.<\/li>\n<li>On identifie un facteur commun dans tous les termes pour \u00e9crire l\u2019expression sous forme factoris\u00e9e.<\/li>\n<li>Les identit\u00e9s remarquables aident \u00e0 factoriser rapidement, comme le carr\u00e9 parfait et la diff\u00e9rence de carr\u00e9s.<\/li>\n<li>Le regroupement par paires et la factorisation des trin\u00f4mes transforment des expressions plus complexes en produits simples.<\/li>\n<\/ul><\/div><\/section><p>La <strong>factorisation<\/strong> est un outil indispensable en maths pour simplifier les expressions alg\u00e9briques. En utilisant diff\u00e9rentes techniques de calcul, on peut transformer des expressions complexes en leurs facteurs plus simples. Cet article explore les m\u00e9thodes vari\u00e9es pour y parvenir, que ce soit par identification des <strong>facteurs communs<\/strong>, l\u2019application des <strong>identit\u00e9s remarquables<\/strong> ou d\u2019autres astuces math\u00e9matiques.<\/p>\n\n\n<h2 class=\"wp-block-heading\" id=\"identifier-le-facteur-commun\">Identifier le facteur commun<\/h2>\n\n<p>Lorsqu\u2019on souhaite factoriser une expression, la premi\u00e8re \u00e9tape consiste souvent \u00e0 identifier un <strong>facteur commun<\/strong> dans tous les termes de l\u2019expression. Les facteurs communs facilitent grandement la simplification de l\u2019expression.<\/p>\n \n\n<h3 class=\"wp-block-heading\" id=\"rechercher-les-coefficients-communs\">Rechercher les coefficients communs<\/h3>\n\n<p>La recherche d\u2019un coefficient num\u00e9rique commun parmi les termes repr\u00e9sente la m\u00e9thode de base. Par exemple, pour factoriser <math><mn>6<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>12<\/mn><mi>y<\/mi><\/math>, le facteur commun ici est <math><mn>6<\/mn><\/math> :<\/p>\n<ul>\n  <li><math><mn>6<\/mn><mi>x<\/mi><\/math> = <strong><math><mn>6<\/mn> <mo>*<\/mo> <mi>x<\/mi><\/math><\/strong><\/li>\n  <li><math><mn>12<\/mn><mi>y<\/mi><\/math> = <strong><math><mn>6<\/mn> <mo>*<\/mo> <mn>2<\/mn><mi>y<\/mi><\/math><\/strong><\/li>\n<\/ul>\n<p>Cela nous permet d\u2019\u00e9crire l\u2019expression sous forme factoris\u00e9e : <strong><math><mn>6<\/mn><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>2<\/mn><mi>y<\/mi><mo>)<\/mo><\/math><\/strong>.<\/p>\n \n\n<h3 class=\"wp-block-heading\" id=\"facteur-algebrique-commun\">Facteur alg\u00e9brique commun<\/h3>\n\n<p>Parfois, le terme commun pourrait inclure des variables. Prenons l\u2019exemple de l\u2019expression suivante : <math><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mi>y<\/mi> <mo>+<\/mo> <mi>x<\/mi><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/math>. Le facteur commun ici est <strong>xy<\/strong> :<\/p>\n  <ul>\n  <li><math><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mi>y<\/mi><\/math> = <strong><math><mi>x<\/mi><mi>y<\/mi> <mo>*<\/mo> <mi>x<\/mi><\/math><\/strong><\/li>\n  <li><math><mi>x<\/mi><msup><mi>y<\/mi><mn>2<\/mn><\/msup><\/math> = <strong><math><mi>x<\/mi><mi>y<\/mi> <mo>*<\/mo> <mi>y<\/mi><\/math><\/strong><\/li>\n<\/ul>\n<p>L\u2019expression factoris\u00e9e devient alors : <strong><math><mi>x<\/mi><mi>y<\/mi><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mi>y<\/mi><mo>)<\/mo><\/math><\/strong>.<\/p>\n\n<div style=\"position:relative;overflow:hidden;padding-top:56.25%\"><iframe style=\"position:absolute;top:0;left:0;width:95%;height:100%;border:0\" src=\"https:\/\/www.youtube.com\/embed\/JVnzqtfXfl4?si=XH01Q32fiZoPFtvu&#038;controls=0\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"utiliser-les-identites-remarquables\">Utiliser les identit\u00e9s remarquables<\/h2>\n\n<p>Les identit\u00e9s remarquables sont des formules pr\u00eates \u00e0 l\u2019emploi qui permettent de factoriser certaines expressions sp\u00e9cifiques rapidement et efficacement.<\/p>\n \n\n<h3 class=\"wp-block-heading\" id=\"formule-du-carre-parfait\">Formule du carr\u00e9 parfait<\/h3>\n\n<p>Cette technique utilise l\u2019identit\u00e9 <strong><math><msup><mrow><mo>(<\/mo><mi>a<\/mi> <mo>+<\/mo> <mi>b<\/mi><mo>)<\/mo><\/mrow><mn>2<\/mn><\/msup> <mo>=<\/mo> <msup><mi>a<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mn>2<\/mn><mi>a<\/mi><mi>b<\/mi> <mo>+<\/mo> <msup><mi>b<\/mi><mn>2<\/mn><\/msup><\/math><\/strong>. Par exemple, consid\u00e9rons l\u2019expression <math><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mn>4<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>4<\/mn><\/math> :<\/p>\n<ul>\n  <li><math><mi>a<\/mi> <mo>=<\/mo> <mi>x<\/mi><\/math><\/li>\n  <li><math><mi>b<\/mi> <mo>=<\/mo> <mn>2<\/mn><\/math><\/li>\n<\/ul>\n<p>Ainsi, <math><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mn>4<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>4<\/mn><\/math> peut se r\u00e9\u00e9crire comme <strong><math><msup><mrow><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>2<\/mn><mo>)<\/mo><\/mrow><mn>2<\/mn><\/msup><\/math><\/strong>.<\/p>\n \n\n<h3 class=\"wp-block-heading\" id=\"difference-de-carres\">Diff\u00e9rence de carr\u00e9s<\/h3>\n\n<p>Une autre identit\u00e9 remarquable utile est <strong><math><msup><mi>a<\/mi><mn>2<\/mn><\/msup> <mo>&#8211;<\/mo> <msup><mi>b<\/mi><mn>2<\/mn><\/msup> <mo>=<\/mo> <mrow><mo>(<\/mo><mi>a<\/mi> <mo>+<\/mo> <mi>b<\/mi><mo>)<\/mo><\/mrow> <mrow><mo>(<\/mo><mi>a<\/mi> <mo>&#8211;<\/mo> <mi>b<\/mi><mo>)<\/mo><\/mrow><\/math><\/strong>. Prenons l\u2019exemple de <math><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>&#8211;<\/mo> <mn>9<\/mn><\/math> :<\/p>\n<ul>\n  <li><math><mi>a<\/mi> <mo>=<\/mo> <mi>x<\/mi><\/math><\/li>\n  <li><math><mi>b<\/mi> <mo>=<\/mo> <mn>3<\/mn><\/math><\/li>\n<\/ul>\n<p>Cela devient donc <strong><math><mrow><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>3<\/mn><mo>)<\/mo><\/mrow> <mrow><mo>(<\/mo><mi>x<\/mi> <mo>&#8211;<\/mo> <mn>3<\/mn><mo>)<\/mo><\/mrow><\/math><\/strong>.<\/p>\n\n<div style=\"justify-content:center;align-items:center;margin-top:5px;margin-bottom:5px\"><img decoding=\"async\" src=\"https:\/\/xapbm7c37i.cloudimg.io\/https:\/\/sherpas.com\/p\/files\/photos\/maths\/factoriser-expression-2.webp?w=640&#038;q=95\" alt=\"Image qui repr\u00e9sente la Factorisaton d\u2019Une Expression\" width=\"640\" height=\"400\" style=\"width:100%;max-width:500px;height:auto;margin:0.9rem 0 0.9rem 0\" loading=\"lazy\"><\/div> \n\n\n<h2 class=\"wp-block-heading\" id=\"factorisation-par-regroupement\">Factorisation par regroupement<\/h2>\n\n<p>Cette technique s\u2019applique principalement aux polyn\u00f4mes en quatre termes en regroupant les termes par paires avant de les factoriser individuellement.<\/p>\n \n\n<h3 class=\"wp-block-heading\" id=\"exemple-pratique\">Exemple pratique<\/h3>\n\n<p>Pour illustrer cette m\u00e9thode, prenons l\u2019expression <math><msup><mi>x<\/mi><mn>3<\/mn><\/msup> <mo>+<\/mo> <msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mi>x<\/mi> <mo>+<\/mo> <mn>1<\/mn><\/math>. Regroupons les termes par paires :<\/p>\n<ul>\n  <li><math><mo>(<\/mo><msup><mi>x<\/mi><mn>3<\/mn><\/msup> <mo>+<\/mo> <msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>)<\/mo><\/math><\/li>\n  <li><math><mo>+<\/mo> <mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>1<\/mn><mo>)<\/mo><\/math><\/li>\n<\/ul>\n<p>Pour chaque paire, extrayons les facteurs communs :<\/p>\n<ul>\n  <li><strong><math><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>1<\/mn><mo>)<\/mo><\/math><\/strong><\/li>\n  <li><strong><math><mo>+<\/mo> <mn>1<\/mn><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>1<\/mn><mo>)<\/mo><\/math><\/strong><\/li>\n<\/ul>\n<p>Ainsi, l\u2019expression factoris\u00e9e devient <strong><math><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>1<\/mn><mo>)<\/mo><mo>(<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mn>1<\/mn><mo>)<\/mo><\/math><\/strong>.<\/p>\n  \n\n<h2 class=\"wp-block-heading\" id=\"utiliser-la-somme-et-la-difference-de-cubes\">Utiliser la somme et la diff\u00e9rence de cubes<\/h2>\n\n<p>Il existe aussi des identit\u00e9s sp\u00e9cifiques pour la somme et la diff\u00e9rence de cubes, telles que <strong>a<sup>3<\/sup> + b<sup>3<\/sup> = (a + b)(a<sup>2<\/sup> &#8211; ab + b<sup>2<\/sup>)<\/strong> et <strong>a<sup>3<\/sup> &#8211; b<sup>3<\/sup> = (a &#8211; b)(a<sup>2<\/sup> + ab + b<sup>2<\/sup>)<\/strong>.<\/p>\n \n\n<h3 class=\"wp-block-heading\" id=\"somme-de-cubes\">Somme de cubes<\/h3>\n\n<p>Examinons l\u2019expression <math><msup><mi>x<\/mi><mn>3<\/mn><\/msup> <mo>+<\/mo> <mn>27<\/mn><\/math> :<\/p>\n<ul>\n  <li><math><mi>a<\/mi> <mo>=<\/mo> <mi>x<\/mi><\/math><\/li>\n  <li><math><mi>b<\/mi> <mo>=<\/mo> <mn>3<\/mn> <mo>(<\/mo><mi>car<\/mi> <mn>27<\/mn> <mo>=<\/mo> <msup><mn>3<\/mn><mn>3<\/mn><\/msup><mo>)<\/mo><\/math><\/li>\n<\/ul>\n<p>Par cons\u00e9quent, elle peut \u00eatre factoris\u00e9e comme suit : <strong><math><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>3<\/mn><mo>)<\/mo><mo>(<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>&#8211;<\/mo> <mn>3<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>9<\/mn><mo>)<\/mo><\/math><\/strong>.<\/p>\n \n\n<h3 class=\"wp-block-heading\" id=\"difference-de-cubes\">Diff\u00e9rence de cubes<\/h3>\n\n<p>Prenons maintenant <math><msup><mi>x<\/mi><mn>3<\/mn><\/msup> <mo>&#8211;<\/mo> <mn>8<\/mn><\/math> :<\/p>\n<ul>\n  <li><math><mi>a<\/mi> <mo>=<\/mo> <mi>x<\/mi><\/math><\/li>\n  <li><math><mi>b<\/mi> <mo>=<\/mo> <mn>2<\/mn> <mo>(<\/mo><mi>car<\/mi> <mn>8<\/mn> <mo>=<\/mo> <msup><mn>2<\/mn><mn>3<\/mn><\/msup><mo>)<\/mo><\/math><\/li>\n<\/ul>\n<p>La factorisation devient : <strong><math><mo>(<\/mo><mi>x<\/mi> <mo>&#8211;<\/mo> <mn>2<\/mn><mo>)<\/mo><mo>(<\/mo><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mn>2<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>4<\/mn><mo>)<\/mo><\/math><\/strong>.<\/p>\n \n\n<h2 class=\"wp-block-heading\" id=\"factorisation-de-trinomes\">Factorisation de trin\u00f4mes<\/h2>\n\n<p>Les trin\u00f4mes de la forme <strong><math><mi>a<\/mi><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mi>b<\/mi><mi>x<\/mi> <mo>+<\/mo> <mi>c<\/mi><\/math><\/strong> peuvent souvent \u00eatre factoris\u00e9s en bin\u00f4mes gr\u00e2ce \u00e0 diverses techniques, incluant la recherche de racines et d\u2019autres approches alg\u00e9briques.<\/p>\n \n\n<h3 class=\"wp-block-heading\" id=\"trinome-de-forme-simple\">Trin\u00f4me de forme simple<\/h3>\n\n<p>Consid\u00e9rons <math><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mn>5<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>6<\/mn><\/math>. L\u2019objectif est de trouver deux nombres dont le produit est <math><mn>6<\/mn><\/math> et la somme est <math><mn>5<\/mn><\/math> :<\/p>\n<ul>\n  <li>Produits possibles : <math><mn>1<\/mn><mo>*<\/mo><mn>6<\/mn><\/math>, <math><mn>2<\/mn><mo>*<\/mo><mn>3<\/mn><\/math><\/li>\n  <li>Somme : <math><mn>2<\/mn> <mo>+<\/mo> <mn>3<\/mn> <mo>=<\/mo> <mn>5<\/mn><\/math><\/li>\n<\/ul>\n<p>En conclusion, l\u2019expression peut \u00eatre factoriz\u00e9e sous la forme <strong><math><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>2<\/mn><mo>)<\/mo><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>3<\/mn><mo>)<\/mo><\/math><\/strong>.<\/p>\n \n\n<h3 class=\"wp-block-heading\" id=\"trinome-avec-un-coefficient-principal-different-de-1\">Trin\u00f4me avec un coefficient principal diff\u00e9rent de 1<\/h3>\n\n<p>Un trin\u00f4me tel que <math><mn>2<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mn>7<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>3<\/mn><\/math> n\u00e9cessite un traitement diff\u00e9rent. On recherche deux nombres dont le produit est <math><mn>2<\/mn><mo>*<\/mo><mn>3<\/mn> <mo>=<\/mo> <mn>6<\/mn><\/math> et la somme est <math><mn>7<\/mn><\/math> :<\/p>\n<ul>\n  <li>Produit : <math><mn>6<\/mn><\/math><\/li>\n  <li>Somme : <math><mn>7<\/mn><\/math> obtenue avec <math><mn>1<\/mn><mo>*<\/mo><mn>6<\/mn><\/math><\/li>\n<\/ul>\n<p>En r\u00e9organisant les termes : <math><mn>2<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup> <mo>+<\/mo> <mi>x<\/mi> <mo>+<\/mo> <mn>6<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>3<\/mn><\/math> puis en factorisant par regroupement : <strong><math><mi>x<\/mi><mo>(<\/mo><mn>2<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>1<\/mn><mo>)<\/mo> <mo>+<\/mo> <mn>3<\/mn><mo>(<\/mo><mn>2<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>1<\/mn><mo>)<\/mo><\/math><\/strong>. Finalement, cela donne <strong><math><mo>(<\/mo><mn>2<\/mn><mi>x<\/mi> <mo>+<\/mo> <mn>1<\/mn><mo>)<\/mo><mo>(<\/mo><mi>x<\/mi> <mo>+<\/mo> <mn>3<\/mn><mo>)<\/mo><\/math><\/strong>.<\/p>\n<div style=\"line-height:1.7;margin-top:0.75rem;margin-bottom:0.25rem;letter-spacing:-0.01em\">Voici d\u2019autres <a href=\"https:\/\/sherpas.com\/blog\/astuces-methodes-reussite-maths\/\">astuces et m\u00e9thodes utiles pour r\u00e9ussir en maths<\/a> :<br><ul>\n<li><a href=\"https:\/\/sherpas.com\/blog\/devenir-bon-en-maths\/\">Devenir Bon en Maths<\/a><\/li>\n<li><a href=\"https:\/\/sherpas.com\/blog\/apprendre-les-maths\/\">Meilleures M\u00e9thodes pour Apprendre les Maths<\/a><\/li>\n<li><a href=\"https:\/\/sherpas.com\/blog\/reussir-en-maths\/\">R\u00e9ussir en Maths : Astuces Essentielles<\/a><\/li>\n<li><a href=\"https:\/\/sherpas.com\/blog\/calcul-mental\/\">Calcul Mental : Am\u00e9liorer ses Comp\u00e9tences<\/a><\/li>\n<li><a href=\"https:\/\/sherpas.com\/blog\/phobie-des-maths\/\">Vaincre la Phobie des Maths<\/a><\/li>\n<li><a href=\"https:\/\/sherpas.com\/blog\/s-ameliorer-en-maths\/\">S\u2019am\u00e9liorer en Maths<\/a><\/li>\n<\/ul><\/div>\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-center kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;center&quot;,&quot;id&quot;:&quot;309289&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;0&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;0&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;Tu as aim\u00e9 cet article ?&quot;,&quot;legend&quot;:&quot;0\\\/5 - (0 vote)&quot;,&quot;size&quot;:&quot;24&quot;,&quot;title&quot;:&quot;Comment factoriser une expression alg\u00e9brique en maths : techniques efficaces&quot;,&quot;width&quot;:&quot;0&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} - ({count} {votes})&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 0px;\">\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 19.2px;\">\n            <span class=\"kksr-muted\">Tu as aim\u00e9 cet article ?<\/span>\n    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p>\ud83e\udde0 \u00c0 retenir : La factorisation permet de simplifier une expression alg\u00e9brique et d\u2019obtenir des facteurs plus simples. (&#8230;)<\/p>\n","protected":false},"author":326,"featured_media":308764,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"category":[803,810],"tag":[],"class_list":["post-309289","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-apprendre-matiere","category-maths"],"acf":[],"_links":{"self":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/posts\/309289","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/users\/326"}],"replies":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/comments?post=309289"}],"version-history":[{"count":0,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/posts\/309289\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/media\/308764"}],"wp:attachment":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/media?parent=309289"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/category?post=309289"},{"taxonomy":"tag","embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/tag?post=309289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}