{"id":112,"date":"2024-10-16T18:39:18","date_gmt":"2024-10-16T18:39:18","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/?post_type=chapter&#038;p=112"},"modified":"2024-10-21T13:50:45","modified_gmt":"2024-10-21T13:50:45","slug":"polynomial-basics-apply-it-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/chapter\/polynomial-basics-apply-it-1\/","title":{"raw":"Polynomial Basics: Apply It 1","rendered":"Polynomial Basics: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n \t<li>Recognize polynomial functions, noting their degree and leading coefficient<\/li>\r\n \t<li>Add, subtract, and multiply polynomials using different methods, including the FOIL method for two-term polynomials<\/li>\r\n \t<li>Work with polynomials that have more than one variable, understanding how to combine and simplify them<\/li>\r\n<\/ul>\r\n<\/section>A woodcraft artisan\u2019s most popular items are her pairs of cedar nesting boxes. Her craftsmanship is so precise that one open-topped box fits perfectly inside another. The outer box is a cube with side length [latex]x[\/latex] cm. The box that nests inside of it is a rectangular prism with its open face lying flush with the open face of the outer box. Both boxes, including their bottoms, are made with cedar that is [latex]1[\/latex] cm thick. The outer box (left) and the inner box (right) are depicted below.\r\n\r\n<img class=\"alignnone wp-image-4203\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/04\/25052639\/open_topped_boxes-300x143.jpg\" alt=\"\" width=\"750\" height=\"358\" \/>\r\n\r\nTo help her customize her nesting boxes to her patrons\u2019 volume needs, the artisan uses polynomial expressions to represent the various volumes involved.\r\n\r\n<section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]25373[\/ohm2_question]<\/section>&nbsp;\r\n\r\n<section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]25374[\/ohm2_question]<\/section>&nbsp;\r\n\r\n<section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]25375[\/ohm2_question]<\/section>&nbsp;\r\n\r\n<section class=\"textbox tryIt\" aria-label=\"Try It\">[ohm2_question hide_question_numbers=1]25376[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Recognize polynomial functions, noting their degree and leading coefficient<\/li>\n<li>Add, subtract, and multiply polynomials using different methods, including the FOIL method for two-term polynomials<\/li>\n<li>Work with polynomials that have more than one variable, understanding how to combine and simplify them<\/li>\n<\/ul>\n<\/section>\n<p>A woodcraft artisan\u2019s most popular items are her pairs of cedar nesting boxes. Her craftsmanship is so precise that one open-topped box fits perfectly inside another. The outer box is a cube with side length [latex]x[\/latex] cm. The box that nests inside of it is a rectangular prism with its open face lying flush with the open face of the outer box. Both boxes, including their bottoms, are made with cedar that is [latex]1[\/latex] cm thick. The outer box (left) and the inner box (right) are depicted below.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4203\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/42\/2024\/04\/25052639\/open_topped_boxes-300x143.jpg\" alt=\"\" width=\"750\" height=\"358\" \/><\/p>\n<p>To help her customize her nesting boxes to her patrons\u2019 volume needs, the artisan uses polynomial expressions to represent the various volumes involved.<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm25373\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=25373&theme=lumen&iframe_resize_id=ohm25373&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>&nbsp;<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm25374\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=25374&theme=lumen&iframe_resize_id=ohm25374&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>&nbsp;<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm25375\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=25375&theme=lumen&iframe_resize_id=ohm25375&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>&nbsp;<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\"><iframe loading=\"lazy\" id=\"ohm25376\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=25376&theme=lumen&iframe_resize_id=ohm25376&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":15,"menu_order":9,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":32,"module-header":"- Select Header -","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/112"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":1,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/112\/revisions"}],"predecessor-version":[{"id":119,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/112\/revisions\/119"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/parts\/32"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapters\/112\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/media?parent=112"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/pressbooks\/v2\/chapter-type?post=112"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/contributor?post=112"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/collegealgebrademo\/wp-json\/wp\/v2\/license?post=112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}