{"id":4571,"date":"2020-12-11T18:02:22","date_gmt":"2020-12-11T18:02:22","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/?post_type=chapter&#038;p=4571"},"modified":"2020-12-11T18:02:22","modified_gmt":"2020-12-11T18:02:22","slug":"solving-equations-by-factoring-and-by-roots","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/chapter\/solving-equations-by-factoring-and-by-roots\/","title":{"raw":"Solving Equations by Factoring and by Roots","rendered":"Solving Equations by Factoring and by Roots"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Objectives<\/h3>\r\nPolynomial Equations\r\n<ul>\r\n \t<li>Solve equations with exponents using the even root property and odd root property<\/li>\r\n \t<li>Use factoring methods to factor polynomial equations<\/li>\r\n \t<li>Use the principle of zero products to solve polynomial equations<\/li>\r\n<\/ul>\r\n<\/div>\r\nAnother type of equation we can solve is one with exponents. As you might\r\nexpect we can clear exponents by using roots. This is done with very few unexpected results when the exponent is odd. We solve these problems very straight\r\nforward using the odd root property.\r\n<p style=\"text-align: center\"><strong>Odd Root Property: if [latex]a^n=b[\/latex] and\u00a0<em>n<\/em> is odd, then [latex]a=root_n{b}[\/latex]<\/strong><\/p>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Objectives<\/h3>\n<p>Polynomial Equations<\/p>\n<ul>\n<li>Solve equations with exponents using the even root property and odd root property<\/li>\n<li>Use factoring methods to factor polynomial equations<\/li>\n<li>Use the principle of zero products to solve polynomial equations<\/li>\n<\/ul>\n<\/div>\n<p>Another type of equation we can solve is one with exponents. As you might<br \/>\nexpect we can clear exponents by using roots. This is done with very few unexpected results when the exponent is odd. We solve these problems very straight<br \/>\nforward using the odd root property.<\/p>\n<p style=\"text-align: center\"><strong>Odd Root Property: if [latex]a^n=b[\/latex] and\u00a0<em>n<\/em> is odd, then [latex]a=root_n{b}[\/latex]<\/strong><\/p>\n","protected":false},"author":26828,"menu_order":3,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-4571","chapter","type-chapter","status-publish","hentry"],"part":4486,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/pressbooks\/v2\/chapters\/4571","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/wp\/v2\/users\/26828"}],"version-history":[{"count":2,"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/pressbooks\/v2\/chapters\/4571\/revisions"}],"predecessor-version":[{"id":4574,"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/pressbooks\/v2\/chapters\/4571\/revisions\/4574"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/pressbooks\/v2\/parts\/4486"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/pressbooks\/v2\/chapters\/4571\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/wp\/v2\/media?parent=4571"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=4571"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/wp\/v2\/contributor?post=4571"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/tallahassee-intermediatealgebra\/wp-json\/wp\/v2\/license?post=4571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}