[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-400258-105":59,"doc-detail-400258-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","factoring-practice-part-1-factoring-practice","Factoring Practice - Part 1 - Factoring Practice","","Factoring Practice provides structured practice sets for algebraic factoring, beginning with identifying the greatest common factor (GCF) of numbers and then progressing to the greatest common monomial factor. It includes exercises on factoring the difference of two squares, factoring perfect square trinomials, and multiple categories of trinomial factoring such as x^2 + bx + c and ax^2 + bx + c. Additional sections emphasize special factoring and combining methods, culminating in problems that require factoring completely and writing results in prime form.",{"@graph":69,"@context":123},[70,84,106],{"@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-practice-part-1-factoring-practice/400258/",{"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-practice-part-1-factoring-practice/400258.png","ImageObject",300,407,{"name":92,"@type":93},"SANS","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-27",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What does the GCF section ask you to do?","Question",{"text":113,"@type":114},"Find the greatest common factor (GCF) of given numbers and factor accordingly, with answers written and indicated as prime when applicable.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Which types of algebraic expressions are covered besides GCF?",{"text":118,"@type":114},"The document covers greatest common monomial factors, factoring the difference of two squares, perfect square trinomials, and several forms of trinomial factoring including x^2 + bx + c and ax^2 + bx + c.",{"name":120,"@type":111,"acceptedAnswer":121},"What is required in the final “Putting It All Together” and grouping sections?",{"text":122,"@type":114},"Factor completely and write results in prime form when prime, including problems that combine multiple factoring steps and an extra section on factoring by grouping.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},400258,1790529408,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},962090760505,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Factoring Practice  \nI. Greatest Common Factor (GCF)  \nFind the GCF of the numbers.  \n1. 12, 18 2. 10, 35 3. 8, 30  \n4. 16, 24  \n5. 28, 49 6. 27, 63 7. 30, 45  \n8. 48, 72  \nFactor, write prime if prime.  \n1. 6􀀂 􀀃 3  \n2. 24􀀂 􀀇 􀀈 8􀀂  \n3. 6􀀂 􀀈 12  \n4. 2􀀂 􀀇 􀀃 8􀀂  \n5. 4􀀂 􀀃 10  \n6. 10􀀂 􀀇 􀀃 35􀀂  \n7. 10􀀂 􀀇 􀀍 􀀈 15􀀂􀀍 􀀇  \nII. Greatest Common Monomial Factor  \n8. 12􀀂 􀀇 􀀈 9􀀂 􀀃 15  \n9. 3􀀏 􀀐 􀀈 12􀀏􀀇 􀀈 30􀀏  \n10. 9􀀑 􀀇 􀀈 4􀀏 􀀃 12  \n11. 2􀀂 􀀐 􀀈 3􀀂 􀀇 􀀃 5􀀂  \n12. 13􀀑 􀀃 26􀀑 􀀇 􀀈 39􀀑 􀀐  \n13. 17􀀂 􀀇 􀀃 34􀀂 􀀃 51  \n14. 18􀀑 􀀇 􀀏􀀓 􀀈 12􀀑 􀀇 􀀏 􀀐 􀀃 24􀀑 􀀇 􀀏 􀀇  \nIII. Factoring the Difference of Two Squares  \n\n| 􀀗 􀀚 􀀜 􀀡 􀀡 􀀜  􀀚 􀀞􀀡 􀀚  |  |\n| --- | --- |\n| |  |\n\n􀀠  \n􀀃 􀀗􀀞􀀠  \n􀀙 􀀜􀀠􀀡 􀀢􀀣􀀠  \n􀀃  \n􀀤  \nFactor, write prime if prime.  \n1. 􀀂 􀀇 􀀈 1  \n2. 􀀂 􀀇 􀀈 9  \n3. 􀀂 􀀇 􀀃 4  \n4. 􀀂 􀀇 􀀈 25  \n5. 9􀀍 􀀇 􀀈 16  \n6. 4􀀂 􀀇 􀀈 25  \n7. 9􀀂 􀀇 􀀈 1  \n8. 􀀔 􀀇 􀀈 􀀂 􀀇  \n9. 25 􀀈 􀀑 􀀇  \n10. 􀀂 􀀇 􀀈 16􀀍 􀀇  \n11. 25􀀑 􀀇 􀀈 􀀏 􀀇  \n12. – 􀀂 􀀇 􀀃 16  \n13. 36􀀑 􀀇 􀀈 121  \n14. 2􀀂 􀀇 􀀈 8  \n15. 25 􀀃 4􀀂 􀀇  \n16. 4􀀔 􀀇 􀀈 81􀀖 􀀇  \n17. 12􀀂 􀀇 􀀈 75  \n18. 􀀔 􀀇 􀀖 􀀈 􀀖 􀀐  \n19. 􀀈98 􀀃 2􀀂 􀀇  \n20. 5􀀂 􀀇 􀀈 45􀀍 􀀇  \n21. 9􀀂 􀀓 􀀈 4  \n22. 16􀀂 􀀓 􀀈 􀀍 􀀇  \nIV. Factoring Perfect Square Trinomials  \n􀀧 􀀚 􀀈 􀀗􀀣􀀧 􀀃 􀀣􀀲 􀀙 􀀥􀀧 􀀈 􀀳􀀦 􀀚  \nFactor, write prime if prime.  \n1. 􀀂 􀀇 􀀃 8􀀂 􀀃 16 6. 9􀀂 􀀇 􀀈 6􀀂 􀀃 1  \n2. 􀀂 􀀇 􀀈 16􀀂 􀀃 64 7. 25􀀂 􀀇 􀀃 10􀀂 􀀃 1  \n3. 􀀍 􀀇 􀀃 12􀀍 􀀃 36 8. 􀀏 􀀇 􀀈 14􀀏 􀀃 49  \n4. 􀀔 􀀇 􀀈 10􀀔 􀀃 25 9. 81􀀂 􀀇 􀀈 90􀀂 􀀃 25  \n5. 16􀀍 􀀇 􀀃 8􀀍 􀀃 1 10. 4􀀍 􀀇 􀀈 20􀀍 􀀃 25  \n11. 25􀀔 􀀇 􀀃 60􀀔 􀀃 36 16. 􀀏 􀀇 􀀃 2􀀏 􀀃 4  \n12. 16 􀀃 40􀀂 􀀃 25􀀂 􀀇 17. 􀀖 􀀇 􀀃 2􀀖 􀀃 1  \n13. 16􀀂 􀀇 􀀃 24􀀂 􀀃 9 18. 36􀀂 􀀇 􀀃 84􀀂 􀀃 49  \n14. 49􀀂 􀀇 􀀈 14􀀂 􀀃 1 19. 81 􀀈 18􀀂 􀀃 􀀂 􀀇  \n15. 9􀀍 􀀇 􀀈 30􀀍 􀀃 25 20. 4 􀀈 12􀀍 􀀃 9􀀍 􀀇  \nFactor, write prime if  \n1. 􀀔 􀀇 􀀈 36  \n2. 9􀀂 􀀇 􀀈 49  \n3. 169􀀑􀀇 􀀈 4􀀨 􀀇  \n4. 􀀂 􀀇 􀀍 􀀇 􀀈 9􀀩 􀀓  \n5. 􀀪􀀓 􀀂 􀀇 􀀈 25􀀍 􀀇  \n6. 􀀪􀀫 􀀂 􀀇 􀀈 16  \n7. 64 􀀈 􀀔􀀓 􀀖 􀀓  \n8. 􀀍 􀀬 􀀈 100  \n9. 􀀓􀀫 􀀂 􀀇 􀀍 􀀇 􀀈 􀀇􀀐~~ ~~􀀭􀀬 􀀩 􀀇  \n10. 􀀍 􀀮 􀀈 81  \nprime.  \nV. Special Factoring – Challenge  \n11. 1 􀀈 8􀀨 􀀃 16􀀨 􀀇  \n12. 􀀔 􀀇 􀀖 􀀇 􀀃 6􀀔􀀖 􀀃 9  \n13. 􀀂 􀀇 􀀃 2􀀂􀀍 􀀃 􀀍 􀀇  \n14. 4􀀂 􀀇 􀀃 12􀀂􀀍 􀀃 9􀀍 􀀇  \n15. 100􀀯􀀇 􀀃 20􀀯 􀀃 1  \n16. 9􀀔 􀀇 􀀈 24􀀔 􀀃 16  \n17. 4􀀔 􀀐 􀀃 8􀀔 􀀇 􀀃 4􀀔  \n18. 5􀀰 􀀃 20􀀰 􀀇 􀀃 20􀀰 􀀐  \n19. 􀀥􀀂 􀀃 4􀀦 􀀇 􀀈 􀀥􀀍 􀀃 1􀀦 􀀇  \n20. 􀀥􀀂 􀀈 1􀀦􀀇 􀀈 10􀀥􀀂 􀀈 1􀀦 􀀃 25  \nVI. Factoring Trinomials: x2 + bx + c  \n􀀧 􀀚 􀀃 􀀳􀀧 􀀃 􀀗􀀝 􀀙 􀀥􀀧􀀦 􀀚 􀀃 􀀥􀀚 􀀃 􀀞􀀦 􀀧 􀀃 􀀥􀀚􀀦􀀥􀀞􀀦 􀀙 􀀥􀀧 􀀃 􀀚􀀦􀀥􀀧 􀀃 􀀞􀀦  \nFactor, write prime if prime.  \n1. 􀀂 􀀇 􀀃 6􀀂 􀀃 8  \n2. 􀀰 􀀇 􀀃 5􀀰 􀀃 6  \n3. 􀀍 􀀇 􀀈 9􀀍 􀀃 14  \n4. 􀀂 􀀇 􀀈 10􀀂 􀀃 16  \n5. 􀀔 􀀇 􀀃 12􀀔 􀀃 27  \n6. 􀀂 􀀇 􀀈 14􀀂 􀀃 24  \n7. 􀀂 􀀇 􀀈 15􀀂 􀀃 36  \n8. 􀀍 􀀇 􀀃 21􀀍 􀀃 54  \n9. 􀀑 􀀇 􀀃 13􀀑 􀀈 36  \n10. 􀀂 􀀇 􀀈 8􀀂 􀀃 15  \n11. 􀀍 􀀇 􀀈 4􀀍 􀀈 32  \n12. 􀀂 􀀇 􀀈 􀀂 􀀈 6  \n13. 􀀍 􀀇 􀀃 3􀀍 􀀈 18  \n14. 􀀖 􀀇 􀀃 7􀀖 􀀈 18  \n15. 􀀔 􀀇 􀀃 􀀔 􀀈 56  \n16. 􀀰 􀀇 􀀈 4􀀰 􀀈 12  \n17. 􀀂 􀀇 􀀈 9􀀂 􀀈 36  \n18. 􀀍 􀀇 􀀃 4􀀍 􀀈 21  \n19. 􀀂 􀀇 􀀈 22􀀂 􀀈 75  \n20. 􀀂 􀀇 􀀈 3􀀂 􀀈 40  \n21. 45 􀀃 14􀀍 􀀃 􀀍 􀀇 22. 􀀂 􀀇 􀀈 13􀀂 􀀃 36  \nVII. …More Factoring Trinomials: x2 + bx + c  \n􀀹 􀀚 􀀈 􀀹 􀀈 􀀚􀀝 􀀙 􀀥􀀹􀀦 􀀚 􀀃 􀀥􀀣 􀀃 􀀈􀀞􀀦􀀹 􀀃 􀀥􀀣􀀦􀀥􀀈􀀞􀀦 􀀙 􀀥􀀹 􀀃 􀀣􀀦􀀥􀀹 􀀈 􀀞􀀦  \nFactor, write prime if prime.  \n1. 􀀂 􀀇 􀀃 7􀀂 􀀃 12  \n2. 􀀑 􀀇 􀀃 10􀀑 􀀃 21  \n3. 􀀍 􀀇 􀀈 7􀀍 􀀈 8  \n4. 􀀂 􀀇 􀀈 6􀀂 􀀃 5  \n5. 􀀂 􀀇 􀀃 4􀀂 􀀈 32  \n6. 􀀂 􀀇 􀀈 2􀀂 􀀈 15  \n7. 􀀂 􀀇 􀀈 6􀀂 􀀃 8  \n8. 􀀍 􀀇 􀀃 9􀀍 􀀃 18  \n9. 3 􀀈 4􀀴 􀀃 􀀴 􀀇  \n10. 􀀵 􀀇 􀀃 12􀀵 􀀃 20  \n11. 51 􀀈 20􀀶 􀀃 􀀶 􀀇  \n12. 􀀔 􀀇 􀀈 14􀀔􀀖 􀀃 24􀀖 􀀇  \n13. 􀀍 􀀇 􀀃 6􀀍 􀀈 72  \n14. 􀀂 􀀇 􀀈 11􀀂􀀍 􀀈 60􀀍 􀀇  \n15. 15􀀷 􀀇 􀀃 2􀀷􀀸 􀀈 􀀸 􀀇  \n16. 3􀀂 􀀇 􀀃 21􀀂􀀍 􀀈 54􀀍 􀀇 (Hint: Check for GCF)  \n17. 􀀂 􀀇 􀀈 5􀀂􀀍 􀀈 6􀀍 􀀇  \n18. 􀀂 􀀇 􀀃 8􀀂􀀍 􀀃 12􀀍 􀀇  \n19. 􀀍 􀀇 􀀈 7􀀂􀀍 􀀃 10􀀂 􀀇  \n20. 􀀔 􀀇 􀀈 11􀀔􀀖 􀀈 60􀀖 􀀇  \nVIII. Factoring Trinomials: ax2 + bx + c  \n􀀚􀀧 􀀚 􀀈 􀀞􀀧 􀀈 􀀜 􀀙 􀀥􀀚􀀧 􀀃 􀀗􀀦􀀥􀀧 􀀈 􀀜􀀦  \nFactor, write prime if prime.  \n1. 2􀀂 􀀇 􀀈 5􀀂 􀀈 3 11. 2􀀏􀀇 􀀈 3􀀏 􀀈 14  \n2. 3􀀂 􀀇 􀀃 10􀀂 􀀈 8 12. 5􀀏􀀇 􀀃 2􀀏 􀀃 7  \n3. 2􀀍 􀀇 􀀃 15􀀍 􀀃 7 13. 10􀀂 􀀇 􀀃 13􀀂 􀀈 30  \n4. 7􀀔 􀀇 􀀈 11􀀔 􀀃 4 14. 12􀀍 􀀇 􀀃 7􀀍 􀀃 1  \n5. 5􀀏􀀇 􀀃 17􀀏 􀀃 6 15. 2􀀏􀀇 􀀃 9􀀏 􀀈 5  \n6. 4􀀍 􀀇 􀀃 8􀀍 􀀃 3 16. 2􀀂 􀀇 􀀃 7􀀂 􀀃 6  \n7. 3􀀂 􀀇 􀀃 4􀀂 􀀈 7 17. 5􀀔 􀀇 􀀈 42􀀔 􀀈 27  \n8. 2􀀂 􀀇 􀀃 13􀀂 􀀃 15 18. 15􀀂 􀀇 􀀈 28􀀂 􀀈 32  \n9. 9􀀍 􀀇 􀀃 6􀀍 􀀈 8 19. 8􀀔 􀀇 􀀈 10􀀔 􀀃 3  \n10. 6􀀂 􀀇 􀀈 7􀀂 􀀈 20 20. 2􀀍 􀀇 􀀈 3􀀍 􀀈 20  \nIX. …More Factoring Trinomials: ax2 + bx + c Factor, write prime if prime.  \n1. 3􀀂 􀀇 􀀃 4􀀂 􀀃 􀀂 9. 2􀀔 􀀇 􀀃 7􀀔􀀖 􀀈 15􀀖 􀀇  \n2. 5􀀩 􀀇 􀀃 7􀀩 􀀃 2 10. 12􀀂 􀀇 􀀃 17􀀂 􀀃 6  \n3. 2􀀏􀀇 􀀈 11􀀏 􀀃 5 11. 4􀀔 􀀇 􀀈 4􀀔􀀖 􀀈 5􀀖 􀀇  \n4. 3􀀩 􀀇 􀀃 􀀩 􀀈 2 12. 56􀀍 􀀇 􀀃 15􀀍 􀀈 56  \n5. 5􀀯􀀇 􀀈 2􀀯 􀀈 7 13. 12􀀂 􀀇 􀀈 29􀀂􀀍 􀀃 14􀀍 􀀇  \n6. 8􀀸 􀀇 􀀈 10􀀸􀀴 􀀃 3􀀴 􀀇 14. 64􀀂 􀀇 ","cbCaidZWFEobWxrr","https://ap.wps.com/l/cbCaidZWFEobWxrr","pdf",102657,"English","# I. Greatest Common Factor (GCF)\n# II. Greatest Common Monomial Factor\n# III. Factoring the Difference of Two Squares\n# IV. Factoring Perfect Square Trinomials\n# V. Special Factoring – Challenge\n# VI. Factoring Trinomials: x2 + bx + c\n# VII. More Factoring Trinomials: x2 + bx + c\n# VIII. Factoring Trinomials: ax2 + bx + c\n# IX. More Factoring Trinomials: ax2 + bx + c\n# X. Factoring: Putting It All Together\n# XI. More Factoring: Putting It All Together\n# XII. Extra: Factoring by Grouping","[{\"question\":\"What does the GCF section ask you to do?\",\"answer\":\"Find the greatest common factor (GCF) of given numbers and factor accordingly, with answers written and indicated as prime when applicable.\"},{\"question\":\"Which types of algebraic expressions are covered besides GCF?\",\"answer\":\"The document covers greatest common monomial factors, factoring the difference of two squares, perfect square trinomials, and several forms of trinomial factoring including x^2 + bx + c and ax^2 + bx + c.\"},{\"question\":\"What is required in the final “Putting It All Together” and grouping sections?\",\"answer\":\"Factor completely and write results in prime form when prime, including problems that combine multiple factoring steps and an extra section on factoring by grouping.\"}]","Factoring Practice - Part 1 - Factoring Practice | PDF",1790509707,15]