[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522655-105":3,"doc-detail-522655-en":81,"detail-sidebar-cat-0-en-105":97},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","factoring-all-techniques-combined-hard-worksheet","Factoring: All Techniques Combined (Hard) - Worksheet","","Worksheet for Infinite Algebra 2 focused on factoring hard polynomials. Students factor 18 given algebraic expressions, ranging from cubic and quartic forms to higher-degree polynomials, including cases involving trinomials, binomial products, and special patterns such as difference of squares and perfect-square structures. The sheet emphasizes completing factoring fully into linear and/or quadratic factors, with one item set in equation form requiring a factored result.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/factoring-all-techniques-combined-hard-worksheet/522655/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/factoring-all-techniques-combined-hard-worksheet/522655.png","ImageObject",300,407,{"name":42,"@type":43},"Valentina","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the main task on this worksheet?","Question",{"text":63,"@type":64},"Factor each given polynomial expression into products of simpler factors.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How many factoring problems are included?",{"text":68,"@type":64},"There are 18 problems labeled 1 through 18.",{"name":70,"@type":61,"acceptedAnswer":71},"Are any of the problems written as equations?",{"text":72,"@type":64},"Yes. Problem 17 is written as an equation that equals 0, and the worksheet expects it to be factored accordingly.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},522655,1791660993,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":91,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":92,"faqs":93,"seo_title":94,"seo_description":12,"update_tm":95,"read_time":96,"preview_page_count":4},13056703020460,"https://ap-avatar.wpscdn.com/avatar/be000253dac470eee5d?_k=1778207105932848923","Kuta Software-Infinite Algebra 2 Name___________________________________  \nFactoring: All Techniques Combined (Hard) Date________________ Period____  \nFactor each.  \n1) x 3 − 5x2 − x + 5 2) x 4 − 2x2 − 15  \n3) x 6 − 26x3 − 27 4) x 6 + 2x4 − 16x2 − 32  \n5) x 4 − 13x2 + 40 6) x 9 − x 6 − x 3 + 1  \n7) x 6 − 4x2 8) x 4 + 14x2 + 45  \n9) 2x4 + x 2 − 6 10) 2x2 − 13x + 20  \n11) 4x3 − x 2 − 4x + 1 12) 4x8 − 61x4 + 225  \n13) 5x2 + 24x − 5 14) 5x2 + 29x + 20  \n15) 4x2 + 4x − 15 16) 10x3 − 8x2 + 25x − 20  \n17) −64x3 + 125 = 0 18) 8x4 + 10x2 − 3  \nKuta Software-Infinite Algebra 2 Name___________________________________  \nFactoring: All Techniques Combined (Hard) Date________________ Period____  \nFactor each.  \n1) x 3 − 5x2 − x + 5 2) x 4 − 2x2 − 15  \n(x − 5)(x + 1)(x − 1) (x 2 − 5)(x 2 + 3)  \n3) x 6 − 26x3 − 27 4) x 6 + 2x4 − 16x2 − 32  \n(x − 3)(x2 + 3x + 9)(x + 1)(x2 − x + 1) (x 2 + 2)(x 2 + 4)(x + 2)(x − 2)  \n5) x 4 − 13x2 + 40 6) x 9 − x 6 − x 3 + 1  \n(x2 − 5)(x2 − 8) (x − 1)2 (x 2 + x + 1) 2 (x + 1)(x2 − x + 1)  \n7) x 6 − 4x2 8) x 4 + 14x2 + 45  \nx 2 (x 2 − 2)(x2 + 2) (x 2 + 5)(x 2 + 9)  \n9) 2x4 + x 2 − 6 10) 2x2 − 13x + 20  \n(2x2 − 3)(x2 + 2) (2x − 5)(x − 4)  \n11) 4x3 − x 2 − 4x + 1 12) 4x8 − 61x4 + 225  \n(4x − 1)(x + 1)(x − 1) (2x2 + 5)(2x2 − 5)(x 2 + 3)(x2 − 3)  \n13) 5x2 + 24x − 5 14) 5x2 + 29x + 20  \n(5x − 1)(x + 5) (5x + 4)(x + 5)  \n15) 4x2 + 4x − 15 16) 10x3 − 8x2 + 25x − 20  \n(2x − 3)(2x + 5) (5x − 4)(2x2 + 5)  \n17) −64x3 + 125 = 0 18) 8x4 + 10x2 − 3  \n(4x − 5)(−16x2 − 20x − 25) = 0 (2x + 1)(2x − 1)(2x2 + 3)  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCailvAUEST6Kj7","https://ap.wps.com/l/cbCailvAUEST6Kj7","pdf",30241,"English","# Factor each\n## Problems 1-18","[{\"question\":\"What is the main task on this worksheet?\",\"answer\":\"Factor each given polynomial expression into products of simpler factors.\"},{\"question\":\"How many factoring problems are included?\",\"answer\":\"There are 18 problems labeled 1 through 18.\"},{\"question\":\"Are any of the problems written as equations?\",\"answer\":\"Yes. 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