{"id":16299,"date":"2019-10-03T03:06:06","date_gmt":"2019-10-03T03:06:06","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/lesson-1-introduction-to-factoring\/"},"modified":"2020-10-22T09:30:57","modified_gmt":"2020-10-22T09:30:57","slug":"lesson-1-introduction-to-factoring","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-rockland-developmentalemporium\/chapter\/lesson-1-introduction-to-factoring\/","title":{"raw":"13.1 - Introduction to Solving Simple Polynomial Equations","rendered":"13.1 &#8211; Introduction to Solving Simple Polynomial Equations"},"content":{"raw":"<h2>What you'll learn to do: Apply basic factoring methods.<\/h2>\r\nIn this section we will introduce factoring methods that will allow you to solve certain kinds of polynomial equations. While factoring is used in a variety of applications, solving equations is one of the ways it is most widely used. Factoring can help simplify mathematical expressions by splitting them into parts, which makes mathematical expressions easier to gain information from and use.\r\n\r\nSpecifically, in this section you\u2019ll learn how to:\r\n<ul>\r\n \t<li>Use the principle of zero products to solve equations<\/li>\r\n \t<li>Find the greatest common factor of two numbers<\/li>\r\n \t<li>Factor the greatest common monomial out of a polynomial<\/li>\r\n \t<li>Solve a polynomial in factored form by setting it equal to zero<\/li>\r\n<\/ul>\r\nBefore you get started, take this readiness quiz.\r\n<div class=\"textbox examples\">\r\n<h3>readiness quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]146554[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/2K5pBvb7Sss\r\n\r\n2)\r\n\r\n[ohm_question]146512[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/Nt8V5cEvAz8\r\n\r\n3)\r\n\r\n[ohm_question]146204[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/bwTmApTV_8o\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Apply basic factoring methods.<\/h2>\n<p>In this section we will introduce factoring methods that will allow you to solve certain kinds of polynomial equations. While factoring is used in a variety of applications, solving equations is one of the ways it is most widely used. Factoring can help simplify mathematical expressions by splitting them into parts, which makes mathematical expressions easier to gain information from and use.<\/p>\n<p>Specifically, in this section you\u2019ll learn how to:<\/p>\n<ul>\n<li>Use the principle of zero products to solve equations<\/li>\n<li>Find the greatest common factor of two numbers<\/li>\n<li>Factor the greatest common monomial out of a polynomial<\/li>\n<li>Solve a polynomial in factored form by setting it equal to zero<\/li>\n<\/ul>\n<p>Before you get started, take this readiness quiz.<\/p>\n<div class=\"textbox examples\">\n<h3>readiness quiz<\/h3>\n<p>1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146554\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146554&theme=oea&iframe_resize_id=ohm146554&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Ex 1:  Prime Factorization\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/2K5pBvb7Sss?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146512\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146512&theme=oea&iframe_resize_id=ohm146512&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the video below.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex 1:  The Distributive Property\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/Nt8V5cEvAz8?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146204\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146204&theme=oea&iframe_resize_id=ohm146204&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Ex:  Multiplying Using the Distributive Property\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/bwTmApTV_8o?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-16299\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Learning Outcomes. <strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t 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