{"id":154812,"date":"2022-03-25T23:57:02","date_gmt":"2022-03-25T18:27:02","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/factorization-of-algebraic-expressions\/"},"modified":"2022-12-31T15:39:39","modified_gmt":"2022-12-31T10:09:39","slug":"factorization-of-algebraic-expressions","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/","title":{"rendered":"Factorization of Algebraic Expressions"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#About_Factorization_of_Algebraic_Expressions\" title=\"About Factorization of Algebraic Expressions\">About Factorization of Algebraic Expressions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#Methods_for_Factorisation_of_Algebraic_Expressions\" title=\"Methods for Factorisation of Algebraic Expressions\">Methods for Factorisation of Algebraic Expressions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#Factorization_of_Algebraic_Expressions_by_Taking_Out_Common_Factors\" title=\"Factorization of Algebraic Expressions by Taking Out Common Factors\">Factorization of Algebraic Expressions by Taking Out Common Factors<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#Factorization_of_Algebraic_Expressions_By_Grouping_of_Terms\" title=\"Factorization of Algebraic Expressions By Grouping of Terms\">Factorization of Algebraic Expressions By Grouping of Terms<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#Difference_of_Two_Squares\" title=\"Difference of Two Squares\">Difference of Two Squares<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#Key_Concepts_Discussed_in_Factorization_are\" title=\"Key Concepts Discussed in Factorization are-\">Key Concepts Discussed in Factorization are-<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#Different_Methods_by_Which_Factorization_of_Algebraic_Expressions_Takes_Place\" title=\"Different Methods by Which Factorization of Algebraic Expressions Takes Place-\">Different Methods by Which Factorization of Algebraic Expressions Takes Place-<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"About_Factorization_of_Algebraic_Expressions\"><\/span>About Factorization of Algebraic Expressions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Factorization of algebraic expressions is the process of finding the factors of an algebraic expression. This can be done by using the distributive property, the commutative property, or the associative property.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154811 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factorization-of-algebraic-expressions.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factorization-of-algebraic-expressions.jpg?v=1648232819 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factorization-of-algebraic-expressions-300x212.jpg?v=1648232819 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Methods_for_Factorisation_of_Algebraic_Expressions\"><\/span>Methods for Factorisation of Algebraic Expressions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a number of methods that can be used to factorise algebraic expressions. The most common methods are the quadratic equation method, the grouping method, and the trial and error method.<\/p>\n<p>The quadratic equation method can be used to factorise expressions that can be written in the form ax2 + bx + c. The grouping method can be used to factorise expressions that can be written in the form ax2 + bx + c = (ax + b) (x + c). The trial and error method can be used to factorise expressions that cannot be written in either of the above forms.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Factorization_of_Algebraic_Expressions_by_Taking_Out_Common_Factors\"><\/span>Factorization of Algebraic Expressions by Taking Out Common Factors<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Factorization is the process of dividing an algebraic expression into simpler terms. This can be done by taking out common factors.<\/p>\n<p>For example, the expression 6&#215;2 &#8211; 9x + 3 can be factorized by taking out the common factor of 6.<\/p>\n<p>6&#215;2 &#8211; 9x + 3 = 6 (x2 &#8211; 3x + 1)<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Factorization_of_Algebraic_Expressions_By_Grouping_of_Terms\"><\/span>Factorization of Algebraic Expressions By Grouping of Terms<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Factorization of algebraic expressions by grouping of terms is the process of grouping terms together and then factoring the group.<\/p>\n<p>Grouping of terms is the process of combining like terms.<\/p>\n<p>For example, the expression 9x + 6x can be grouped together as 9x and 6x.<\/p>\n<p>The expression can then be factored as 9x(1 + 6x).<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Difference_of_Two_Squares\"><\/span>Difference of Two Squares<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A difference of two squares is a polynomial equation in which the two squares of the two terms in the equation are subtracted. The coefficients of the equation are real numbers. The equation is usually written in the form:<\/p>\n<p>ax2 \u2212 bx + c = 0<\/p>\n<p>where a, b, and c are real numbers. The roots of the equation are the solutions to the equation.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Key_Concepts_Discussed_in_Factorization_are\"><\/span>Key Concepts Discussed in Factorization are-<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Factorization of Polynomials<\/p>\n<p>2. Prime Factorization<br \/>\n3. Greatest Common Factor<br \/>\n4. Least Common Multiple<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Different_Methods_by_Which_Factorization_of_Algebraic_Expressions_Takes_Place\"><\/span>Different Methods by Which Factorization of Algebraic Expressions Takes Place-<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a few methods by which factorization of algebraic expressions can take place. One way is to use the distributive property to group like terms together. Another approach is to use the Zero Product Property to factor out any common factors. Lastly, factoring by grouping can be used to factor an expression into a product of two binomials.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>About Factorization of Algebraic Expressions Factorization of algebraic expressions is the process of finding the factors of an algebraic expression. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Factorization of Algebraic Expressions","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Factorization of Algebraic Expressions topic of Maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/factorization-of-algebraic-expressions\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Factorization of Algebraic Expressions - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about Factorization of Algebraic Expressions topic of Maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Factorization of Algebraic Expressions - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"Learn about Factorization of Algebraic Expressions topic of Maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2022-03-25T18:27:02+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-12-31T10:09:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factorization-of-algebraic-expressions.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"vipin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Factorization of Algebraic Expressions - Infinity Learn by Sri Chaitanya","description":"Learn about Factorization of Algebraic Expressions topic of Maths in details explained by subject experts on infinitylearn.com.","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:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/","og_locale":"en_US","og_type":"article","og_title":"Factorization of Algebraic Expressions - Infinity Learn by Sri Chaitanya","og_description":"Learn about Factorization of Algebraic Expressions topic of Maths in details explained by subject experts on infinitylearn.com.","og_url":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2022-03-25T18:27:02+00:00","article_modified_time":"2022-12-31T10:09:39+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factorization-of-algebraic-expressions.jpg"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"vipin","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factorization-of-algebraic-expressions.jpg?v=1648232819","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factorization-of-algebraic-expressions.jpg?v=1648232819","width":606,"height":428},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/","name":"Factorization of Algebraic Expressions - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#primaryimage"},"datePublished":"2022-03-25T18:27:02+00:00","dateModified":"2022-12-31T10:09:39+00:00","description":"Learn about Factorization of Algebraic Expressions topic of Maths in details explained by subject experts on infinitylearn.com.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Factorization of Algebraic Expressions"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2"},"headline":"Factorization of Algebraic Expressions","datePublished":"2022-03-25T18:27:02+00:00","dateModified":"2022-12-31T10:09:39+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#webpage"},"wordCount":407,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/maths\/factorization-of-algebraic-expressions\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/factorization-of-algebraic-expressions.jpg","articleSection":["Maths"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d931698bc4645b2739855720864f30e2","name":"vipin","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c9a84adf9d11e7ad01332089c3e52538?s=96&d=mm&r=g","caption":"vipin"},"sameAs":["http:\/\/surge.infinitylearn.com"],"url":"https:\/\/infinitylearn.com\/surge\/author\/vipin\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/154812"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=154812"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/154812\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=154812"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=154812"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=154812"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=154812"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}