[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467210-105":3,"doc-detail-467210-en":80,"detail-sidebar-cat-0-en-105":96},{"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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","factoring-expressions-answer-key","Factoring Expressions - Answer Key","","Factoring Expressions provides a practice set of algebraic expressions to be factored completely, along with a corresponding Answer Key. The worksheet shows ten numbered items, each requiring decomposition into binomial factors with variables (b, c, d, e, f, g, h, i, j, k) and integer coefficients. The answer section records the fully factored forms, organized by problem number, enabling quick verification and self-checking of factoring steps.",{"@graph":14,"@context":72},[15,34,55],{"@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-expressions-answer-key/467210/",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-expressions-answer-key/467210.png","ImageObject",300,407,{"name":42,"@type":43},"Ezra","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does the worksheet ask you to do with each problem?","Question",{"text":62,"@type":63},"Factor each expression completely and rewrite it in fully factored form.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Where can you find the completed solutions?",{"text":67,"@type":63},"The “Answers” section lists the fully factored results, organized by problem number.",{"name":69,"@type":60,"acceptedAnswer":70},"Are the variables in the expressions different across problems?",{"text":71,"@type":63},"Yes. Each numbered item uses different variables such as b, c, d, e, f, g, h, i, j, and k in the expressions to be factored.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},467210,1792916528,{"code":4,"msg":81,"data":82},"success",{"doc_id":78,"user_id":83,"nickname":42,"user_avatar":84,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":85,"file_id":86,"file_url":87,"file_type":88,"file_size":89,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":90,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":91,"faqs":92,"seo_title":93,"seo_description":12,"update_tm":94,"read_time":95},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Factoring Expressions  \nName:  \n\n| Factor each expression completely.\u003Cbr>1) ~~ ~~427~~ ~~ b - ~~ ~~481~~ ~~ =  \u003Cbr>2)  4   12   c + =\u003Cbr>45 27  \u003Cbr>3) 3 3\u003Cbr>-  12  d +  48  =   |  |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5. |  | Answers\u003Cbr>|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 4)  16   4  \u003Cbr>e + =\u003Cbr>45 54   |  |  | 6.\u003Cbr>7. |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) ~~ ~~432~~ ~~ f - ~~ ~~1232~~ ~~ =  \u003Cbr>6)  12   28  \u003Cbr>- 56 g - 56 =   7) ~~ ~~830~~ ~~ h + ~~ ~~188~~ ~~ =  \u003Cbr>8) 2 4 ~~ ~~ i - ~~ ~~ =  32 56 |  |  | 8.\u003Cbr>9.\u003Cbr>10. |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 9)  8   2  \u003Cbr>- 45 j - 27 =  \u003Cbr>10) ~~ ~~142~~ ~~ k - ~~ ~~448~~ ~~ =  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nFactoring Expressions  \nName: Answer Key  \n\n| Factor each expression completely.\u003Cbr>1) ~~ ~~427~~ ~~ b - ~~ ~~481~~ ~~ = ~~ ~~427~~ ~~(~~ ~~11~~ ~~ b - ~~ ~~13~~ ~~) |  |  | 1.\u003Cbr>2. | Answers\u003Cbr>~~ ~~427~~ ~~(~~ ~~11~~ ~~ b\u003Cbr>- ~~ ~~13~~ ~~) |\n| --- | --- | --- | --- | --- |\n|  |  |  |  | ~~ ~~49~~ ~~(~~ ~~15~~ ~~ c + ~~ ~~33~~ ~~) |\n|  |  |  |  |  |\n| 2) | 4 ~~ ~~ c 45 | + ~~ ~~1227~~ ~~ = ~~ ~~49~~ ~~(~~ ~~15~~ ~~ c + ~~ ~~33~~ ~~) | 3.\u003Cbr>4. | - ~~ ~~132~~ ~~(~~ ~~11~~ ~~ d\u003Cbr>- ~~ ~~14~~ ~~) |\n|  |  |  |  | ~~ ~~49~~ ~~(~~ ~~45~~ ~~ e + ~~ ~~16~~ ~~) |\n|  |  |  |  |  |\n| 3) | -\u003Cbr> 3 \u003Cbr>12 | d + ~~ ~~348~~ ~~ =  - ~~ ~~132~~ ~~(~~ ~~11~~ ~~ d - ~~ ~~14~~ ~~) | 5.\u003Cbr>6. | ~~ ~~432~~ ~~(~~ ~~11~~ ~~ f\u003Cbr>- ~~ ~~31~~ ~~) |\n|  |  |  |  | - ~~ ~~456~~ ~~(~~ ~~31~~ ~~ g + ~~ ~~71~~ ~~) |\n|  |  |  |  |  |\n| 4) | 16 ~~ ~~ e 45 | + ~~ ~~454~~ ~~ = ~~ ~~49~~ ~~(~~ ~~45~~ ~~ e + ~~ ~~16~~ ~~) | 7. | ~~ ~~86~~ ~~(~~ ~~15~~ ~~ h + ~~ ~~13~~ ~~) |\n|  |  |  |  |  |\n| 5) |  4  f\u003Cbr>32 | - ~~ ~~1232~~ ~~ = ~~ ~~432~~ ~~(~~ ~~11~~ ~~ f - ~~ ~~31~~ ~~) | 8.\u003Cbr>9.\u003Cbr>10. | ~~ ~~28~~ ~~(~~ ~~14~~ ~~ i\u003Cbr>- ~~ ~~27~~ ~~) |\n|  |  |  |  | - ~~ ~~29~~ ~~(~~ ~~45~~ ~~ j + ~~ ~~13~~ ~~) |\n|  |  |  |  | ~~ ~~142~~ ~~(~~ ~~11~~ ~~ k\u003Cbr>- ~~ ~~14~~ ~~) |\n| 6) | 12\u003Cbr>56 | g - ~~ ~~2856~~ ~~ =  - ~~ ~~456~~ ~~(~~ ~~31~~ ~~ g + ~~ ~~71~~ ~~) |  |  |\n| 7) |  8  h\u003Cbr>30 | + ~~ ~~188~~ ~~ = ~~ ~~86~~ ~~(~~ ~~15~~ ~~ h + ~~ ~~13~~ ~~) |  |  |\n| 8) |  2  i\u003Cbr>32 | - ~~ ~~456~~ ~~ = ~~ ~~28~~ ~~(~~ ~~14~~ ~~ i - ~~ ~~27~~ ~~) |  |  |\n| 9) | -\u003Cbr> 8 \u003Cbr>45 | j - ~~ ~~227~~ ~~ =  - ~~ ~~29~~ ~~(~~ ~~45~~ ~~ j + ~~ ~~13~~ ~~) |  |  |\n| 10) |  4  k\u003Cbr>12 | - ~~ ~~448~~ ~~ = ~~ ~~142~~ ~~(~~ ~~11~~ ~~ k - ~~ ~~14~~ ~~) |  |  |\n\n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\n1-10 90 80 70 60 50 40 30 20 10 0  \nMath  \nSeed: 1416027578-63  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nFactoring Expressions  \nName:  \n\n| Factor each expression completely.\u003Cbr>1) ~~ ~~427~~ ~~ b - ~~ ~~481~~ ~~ =  \u003Cbr>2)  4   12   c + =\u003Cbr>45 27  \u003Cbr>3) 3 3\u003Cbr>-  12  d +  48  =  \u003Cbr>4)  16   4  \u003Cbr>e + =\u003Cbr>45 54  \u003Cbr>5) ~~ ~~432~~ ~~ f - ~~ ~~1232~~ ~~ =  \u003Cbr>6)  12   28  \u003Cbr>- 56 g - 56 =  \u003Cbr>7) ~~ ~~830~~ ~~ h + ~~ ~~188~~ ~~ =   | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7. |  | Answers\u003Cbr>|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n| 1-7 |  | 86 |  | 71 | 57 | 43 | 29 | 14 | 0 |\n\nMath  \nModified  \n[www","cbCaivnPpW9jGY1E","https://ap.wps.com/l/cbCaivnPpW9jGY1E","pdf",50491,"English","# Factor each expression completely\n## 1-10\n# Answers\n## 1-10","[{\"question\":\"What does the worksheet ask you to do with each problem?\",\"answer\":\"Factor each expression completely and rewrite it in fully factored form.\"},{\"question\":\"Where can you find the completed solutions?\",\"answer\":\"The “Answers” section lists the fully factored results, organized by problem number.\"},{\"question\":\"Are the variables in the expressions different across problems?\",\"answer\":\"Yes. 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