[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523480-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523480-en":131},{"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","dividing-polynomials-worksheet","Dividing Polynomials - Worksheet","","Infinite Precalculus dividing polynomials worksheet on determining whether one polynomial d(x) is a factor of another polynomial f(x). The problems include multiple cases labeled 1 through 14, followed by a section that instructs to divide polynomials and write each quotient in fraction form. The worksheet is structured for practice with factor checks and polynomial division steps using rational expressions.",{"@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/dividing-polynomials-worksheet/523480/",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/dividing-polynomials-worksheet/523480.png","ImageObject",300,407,{"name":42,"@type":43},"jayni","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",14,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you determine whether d(x) is a factor of f(x)?","Question",{"text":63,"@type":64},"Check whether f(x) divided by d(x) results in a zero remainder. If the remainder is zero, d(x) is a factor of f(x).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does the worksheet ask you to do after factor checking?",{"text":68,"@type":64},"It instructs you to divide polynomials and write the answer in fraction form for the listed problems.",{"name":70,"@type":61,"acceptedAnswer":71},"What format should the division results be written in?",{"text":72,"@type":64},"Write the quotient in fraction form, as the worksheet explicitly requires.","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},523480,1791506048,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":124,"preview_page_count":4},3985747859343,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Name   \nDividing Polynomials Date  Period   \nDetermine if d(x) is a factor of f (x).  \n1) f (x) 􀀠 􀀖 x 􀀗 􀀎 􀀚x􀀖 􀀎 􀀖 x 􀀕 􀀐 x 􀀐 􀀗 2) f (x) 􀀠 􀀕x 􀀖 􀀐 x 􀀕 􀀐 􀀙x 􀀐 􀀔 d (x) 􀀠 x 􀀎 􀀕 d (x) 􀀠 x 􀀎 􀀔  \n3) f (x) 􀀠 􀀗x 􀀖 􀀐 􀀕x 􀀕 􀀎 x 􀀐 􀀖 4) f (x) 􀀠 􀀖 x 􀀗 􀀐 􀀖 x 􀀖 􀀐 􀀜x 􀀕 􀀎 􀀘x 􀀐 􀀕 d (x) 􀀠 x 􀀐 􀀔 d (x) 􀀠 x 􀀐 􀀕  \nDivide. Write your answer in fraction form.  \n5) (􀀕x 􀀘 􀀐 􀀔􀀘 x 􀀖 􀀐 􀀜x 􀀕 􀀎 􀀔􀀔 x 􀀎 􀀔􀀕) 􀁹 (x 􀀎 􀀕) 6) (x 􀀗 􀀐 x 􀀖 􀀐 􀀔􀀜x 􀀕 􀀐 􀀖 x 􀀐 􀀔􀀜) 􀁹 (x 􀀐 􀀘 )  \n7) (􀀔􀀓x 􀀗 􀀐 􀀗x 􀀖 􀀎 􀀔􀀗x 􀀕 􀀐 􀀔􀀗x 􀀐 􀀔􀀙) 􀁹 (􀀕x 􀀐 􀀕) 8) (􀀜x 􀀘 􀀐 􀀜x 􀀗 􀀐 x 􀀖 􀀐 􀀔􀀕x 􀀕 􀀎 x 􀀐 􀀔􀀔) 􀁹 (􀀖 x 􀀐 􀀘)  \n9) (􀀔􀀙x 􀀗 􀀎 􀀗x 􀀖 􀀎 􀀕x 􀀕 􀀐 􀀕􀀔 x 􀀎 􀀚) 􀁹 (􀀗x 􀀐 􀀔) 10) (􀀙x 􀀘 􀀎 􀀕􀀔 x 􀀗 􀀐 􀀔􀀗x 􀀖 􀀐 􀀛 x 􀀕 􀀎 x 􀀐 􀀙) 􀁹 (x 􀀎 􀀗)  \n11) (􀀘x􀀙 􀀐 􀀔􀀙x 􀀘 􀀐 􀀔􀀔 x 􀀗 􀀎 􀀕􀀕x 􀀖 􀀎 􀀔􀀗x 􀀕 􀀐 􀀗x 􀀎 􀀜) 􀁹 (x 􀀕 􀀐 􀀗x 􀀎 􀀕)  \n12) (􀀖 x 􀀗 􀀎 􀀔􀀘 x 􀀖 􀀎 􀀖 x 􀀕 􀀐 􀀔􀀕x 􀀎 􀀗) 􀁹 (x 􀀕 􀀎 􀀗x 􀀐 􀀕)  \n13) (􀀗x 􀀙 􀀐 􀀖 x 􀀘 􀀎 􀀔􀀘 x 􀀗 􀀐 􀀔􀀕x 􀀖 􀀐 􀀗x 􀀕 􀀎 􀀔􀀓) 􀁹 (􀀗x 􀀖 􀀐 􀀖 x 􀀕 􀀐 x)  \n14) (x 􀀗 􀀐 􀀔􀀚x 􀀕 􀀎 􀀗x 􀀐 􀀕) 􀁹 (x 􀀕 􀀎 􀀗x 􀀐 􀀔)  \nKuta Software-Infinite Precalculus Dividing Polynomials Determine if d(x) is a factor of f (x).  \n1) f (x) 􀀠 􀀖 x 􀀗 􀀎 􀀚x􀀖 􀀎 􀀖 x 􀀕 􀀐 x 􀀐 􀀗 d (x) 􀀠 x 􀀎 􀀕  \nNo  \n3) f (x) 􀀠 􀀗x 􀀖 􀀐 􀀕x 􀀕 􀀎 x 􀀐 􀀖 d (x) 􀀠 x 􀀐 􀀔  \nYes  \nDivide. Write your answer in fraction form.  \n5) (􀀕x 􀀘 􀀐 􀀔􀀘 x 􀀖 􀀐 􀀜x 􀀕 􀀎 􀀔􀀔 x 􀀎 􀀔􀀕) 􀁹 (x 􀀎 􀀕)  \n􀀕x 􀀗 􀀐 􀀗x 􀀖 􀀐 􀀚x􀀕 􀀎 􀀘x 􀀎 􀀔 􀀎 x~~ ~~􀀕~~ ~~  \n7) (􀀔􀀓x 􀀗 􀀐 􀀗x 􀀖 􀀎 􀀔􀀗x 􀀕 􀀐 􀀔􀀗x 􀀐 􀀔􀀙) 􀁹 (􀀕x 􀀐 􀀕)  \n􀀘x􀀖 􀀎 􀀖 x 􀀕 􀀎 􀀔􀀓x 􀀎 􀀖 􀀐 􀀕x􀀔~~ ~~~~ ~~􀀕~~ ~~  \nName  Date  Period   \n2) f (x) 􀀠 􀀕x 􀀖 􀀐 x 􀀕 􀀐 􀀙x 􀀐 􀀔 d (x) 􀀠 x 􀀎 􀀔  \nNo  \n4) f (x) 􀀠 􀀖 x 􀀗 􀀐 􀀖 x 􀀖 􀀐 􀀜x 􀀕 􀀎 􀀘x 􀀐 􀀕 d (x) 􀀠 x 􀀐 􀀕  \nNo  \n6) (x 􀀗 􀀐 x 􀀖 􀀐 􀀔􀀜x 􀀕 􀀐 􀀖 x 􀀐 􀀔􀀜) 􀁹 (x 􀀐 􀀘 )  \nx 􀀖 􀀎 􀀗x 􀀕 􀀎 x 􀀎 􀀕 􀀐 x~~ ~~~~ ~~􀀘~~ ~~  \n8) (􀀜x 􀀘 􀀐 􀀜x 􀀗 􀀐 x 􀀖 􀀐 􀀔􀀕x 􀀕 􀀎 x 􀀐 􀀔􀀔) 􀁹 (􀀖 x 􀀐 􀀘)  \n􀀖 x 􀀗 􀀎 􀀕x 􀀖 􀀎 􀀖 x 􀀕 􀀎 x 􀀎 􀀕 􀀐 ~~ ~~􀀖~~ ~~x~~ ~~􀀔􀀐~~ ~~􀀘~~ ~~  \n9) (􀀔􀀙x 􀀗 􀀎 􀀗x 􀀖 􀀎 􀀕x 􀀕 􀀐 􀀕􀀔 x 􀀎 􀀚) 􀁹 (􀀗x 􀀐 􀀔)  \n􀀗x 􀀖 􀀎 􀀕x 􀀕 􀀎 x 􀀐 􀀘 􀀎 􀀗x􀀕􀀐~~ ~~􀀔~~ ~~  \n10) (􀀙x 􀀘 􀀎 􀀕􀀔 x 􀀗 􀀐 􀀔􀀗x 􀀖 􀀐 􀀛 x 􀀕 􀀎 x 􀀐 􀀙) 􀁹 (x 􀀎 􀀗)  \n􀀙x 􀀗 􀀐 􀀖 x 􀀖 􀀐 􀀕x 􀀕 􀀎 􀀔 􀀐 x~~ ~~􀀗~~ ~~  \n11) (􀀘x􀀙 􀀐 􀀔􀀙x 􀀘 􀀐 􀀔􀀔 x 􀀗 􀀎 􀀕􀀕x 􀀖 􀀎 􀀔􀀗x 􀀕 􀀐 􀀗x 􀀎 􀀜) 􀁹 (x 􀀕 􀀐 􀀗x 􀀎 􀀕)  \n􀀘x􀀗 􀀎 􀀗x 􀀖 􀀐 􀀘x􀀕 􀀐 􀀙x 􀀎 x~~ 􀀕 ~~~~ ~~􀀜􀀎~~ ~~􀀕~~ ~~  \n12) (􀀖 x 􀀗 􀀎 􀀔􀀘 x 􀀖 􀀎 􀀖 x 􀀕 􀀐 􀀔􀀕x 􀀎 􀀗) 􀁹 (x 􀀕 􀀎 􀀗x 􀀐 􀀕)  \n􀀖 x 􀀕 􀀎 􀀖 x 􀀐 􀀖 􀀎 x~~ 􀀕 ~~􀀕􀀐~~ ~~􀀕~~ ~~  \n13) (􀀗x 􀀙 􀀐 􀀖 x 􀀘 􀀎 􀀔􀀘 x 􀀗 􀀐 􀀔􀀕x 􀀖 􀀐 􀀗x 􀀕 􀀎 􀀔􀀓) 􀁹 (􀀗x 􀀖 􀀐 􀀖 x 􀀕 􀀐 x)  \nx 􀀖 􀀎 􀀗x 􀀎 􀀗x~~ 􀀖 ~~􀀐~~ ~~􀀔􀀓􀀖x~~􀀕 ~~􀀐~~ ~~x  \n14) (x 􀀗 􀀐 􀀔􀀚x 􀀕 􀀎 􀀗x 􀀐 􀀕) 􀁹 (x 􀀕 􀀎 􀀗x 􀀐 􀀔)  \nx 􀀕 􀀐 􀀗x 􀀐 x~~ 􀀕 ~~􀀎~~ ~~􀀕􀀗x~~ ~~􀀐~~ ~~􀀔~~ ~~  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaipmxOafOc79E","https://ap.wps.com/l/cbCaipmxOafOc79E","pdf",28000,"English","# Determine if d(x) is a factor of f(x)\n# Divide and write the answer in fraction form","[{\"question\":\"How do you determine whether d(x) is a factor of f(x)?\",\"answer\":\"Check whether f(x) divided by d(x) results in a zero remainder. If the remainder is zero, d(x) is a factor of f(x).\"},{\"question\":\"What does the worksheet ask you to do after factor checking?\",\"answer\":\"It instructs you to divide polynomials and write the answer in fraction form for the listed problems.\"},{\"question\":\"What format should the division results be written in?\",\"answer\":\"Write the quotient in fraction form, as the worksheet explicitly requires.\"}]","Dividing Polynomials - Worksheet | PDF",1791426903]