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Students are asked to factor each given quadratic expression of the form x^2 ± bx + c where the first and last terms form a perfect square and the middle term matches the needed value. The worksheet lists 20 problems and provides the corresponding squared binomial factors as the solution set. Suitable for classroom review and self-checking after instruction on perfect-square trinomials.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/factoring-perfect-square-trinomials-answer-key/467225/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/factoring-perfect-square-trinomials-answer-key/467225.png","ImageObject",300,407,{"name":92,"@type":93},"Ezra","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skill does this worksheet practice?","Question",{"text":112,"@type":113},"It practices factoring perfect square trinomials by rewriting each quadratic as a squared binomial.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many factoring problems are included?",{"text":117,"@type":113},"There are 20 expressions labeled 1 through 20.",{"name":119,"@type":110,"acceptedAnswer":120},"What format are the answers in?",{"text":121,"@type":113},"Each answer is given as a perfect square binomial, such as (x-9)^2 or (x+1)^2.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},467225,1792883558,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Factoring Perfect Square Trinomials  \nName:  \nFactor each expression.  \n1) x2-18x + 81  \n2) x2-16x + 64  \n3) x2-12x + 36  \n4) x2-20x + 100  \n5) x2-24x + 144  \n6) x2 + 2x + 1  \n7) x2 + 12x + 36  \n8) x2 + 6x + 9  \n9) x2 + 16x + 64  \n10) x2 + 14x + 49  \n11) x2 + 22x + 121  \n12) x2-8x + 16  \n13) x2-10x + 25  \n14) x2-6x + 9  \n15) x2 + 4x + 4  \n16) x2-22x + 121  \n17) x2-14x + 49  \n18) x2 + 20x + 100  \n19) x2-2x + 1  \n20) x2 + 18x + 81  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nAnswers  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10  \n1-10 95 90 85 80 75 70 65 60 55 50 11-20 45 40 35 30 25 20 15 10 5 0  \nFactoring Perfect Square Trinomials  \nName: Answer Key  \nFactor each expression.  \n1) x2-18x + 81  \n2) x2-16x + 64  \n3) x2-12x + 36  \n4) x2-20x + 100  \n5) x2-24x + 144  \n6) x2 + 2x + 1  \n7) x2 + 12x + 36  \n8) x2 + 6x + 9  \n9) x2 + 16x + 64  \n10) x2 + 14x + 49  \n11) x2 + 22x + 121  \n12) x2-8x + 16  \n13) x2-10x + 25  \n14) x2-6x + 9  \n15) x2 + 4x + 4  \n16) x2-22x + 121  \n17) x2-14x + 49  \n18) x2 + 20x + 100  \n19) x2-2x + 1  \n20) x2 + 18x + 81  \nAnswers  \n1. (x-9)2  \n2. (x-8)2  \n3. (x-6)2  \n4. (x-10)2  \n5. (x-12)2  \n6. (x + 1)2  \n7. (x + 6)2  \n8. (x + 3)2  \n9. (x + 8)2  \n10. (x + 7)2  \n11. (x + 11)2  \n12. (x-4)2  \n13. (x-5)2  \n14. (x-3)2  \n15. (x + 2)2  \n16. (x-11)2  \n17. (x-7)2  \n18. (x + 10)2  \n19. (x-1)2  \n20. (x + 9)2  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10  \n1-10 95 90 85 80 75 70 65 60 55 50 11-20 45 40 35 30 25 20 15 10 5 0  \nFactoring Perfect Square Trinomials  \nName:  \n\n| Factor each expression.\u003Cbr>1) x2-18x + 81\u003Cbr>2) x2-16x + 64\u003Cbr>3) x2-12x + 36\u003Cbr>4) x2-20x + 100\u003Cbr>5) x2-24x + 144\u003Cbr>6) x2 + 2x + 1\u003Cbr>7) x2 + 12x + 36\u003Cbr>8) x2 + 6x + 9\u003Cbr>9) x2 + 16x + 64\u003Cbr>10) x2 + 14x + 49\u003Cbr>11) x2 + 22x + 121\u003Cbr>12) x2-8x + 16 |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Math | Modified\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 10 | 1-10\u003Cbr>11-12 | 92 | 83 |  | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |","cbCaihgxmJG5CQKW","https://ap.wps.com/l/cbCaihgxmJG5CQKW","pdf",43708,"English","# Factor each expression\n## Problems 1-10\n## Problems 11-20\n## Answers","[{\"question\":\"What skill does this worksheet practice?\",\"answer\":\"It practices factoring perfect square trinomials by rewriting each quadratic as a squared binomial.\"},{\"question\":\"How many factoring problems are included?\",\"answer\":\"There are 20 expressions labeled 1 through 20.\"},{\"question\":\"What format are the answers in?\",\"answer\":\"Each answer is given as a perfect square binomial, such as (x-9)^2 or (x+1)^2.\"}]","Factoring Perfect Square Trinomials - Answer Key | PDF",1790772517]