[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-462524-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-462524-en":130},{"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","alg1_2014_unit8_practice_test-factoring-q","Alg1_2014_Unit8_Practice_Test-(Factoring)-Q","","Algebra 1 Unit 8 practice test focused on factoring skills. Students identify factors of binomials, find missing factors of factorable polynomials, and explain and correct an error made while combining polynomial expressions. Problems also require writing specific binomials, simplifying sums or products of polynomials, factoring given expressions, and solving equations by using factoring methods. Exercises progress from multiple-choice factor checks to multi-step algebraic simplification and solution.",{"@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/alg1_2014_unit8_practice_test-factoring-q/462524/",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/alg1_2014_unit8_practice_test-factoring-q/462524.png","ImageObject",300,407,{"name":42,"@type":43},"adawds","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-06","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you determine which option is a factor of a given expression?","Question",{"text":62,"@type":63},"Check whether the expression divides evenly by the candidate factor (typically by polynomial multiplication or substitution to verify the resulting product matches). Choose the option that reproduces the original polynomial factor relationship.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"When a polynomial is factorable and one factor is given, how do you find the other factor?",{"text":67,"@type":63},"Divide the polynomial by the given factor using polynomial long division or by matching coefficients. The quotient becomes the other factor listed in the choices.",{"name":69,"@type":60,"acceptedAnswer":70},"What approach is used to simplify or expand polynomial expressions in this test?",{"text":71,"@type":63},"Apply distributive property carefully for each product, then combine like terms (same powers of the variables). For factoring steps, look for common factors or structures consistent with binomial/trinomial products.","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},462524,1790764323,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":26,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":110,"preview_page_count":4},3985747872983,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Algebra 1 Name    \nUnit 8 Practice Test  \n1. Which of the following is a factor of 3ݔ ଶ െ ݔ െ4?  \nA. ሺݔ ൅ 4ሻ B. ሺݔ ൅ 1ሻ  \nC. ሺ3ݔ ൅ 4ሻ D. ሺݔ െ 3ሻ  \n2. The polynomial ݔ ଶ ൅ 11ݔ ൅ 24 is factorable and one factor is ሺݔ ൅ 3ሻ . What is the other factor?  \nA. ሺݔ െ 6ሻ B. ሺݔ ൅ 12ሻ  \nC. ሺݔ ൅ 8ሻ D. ሺݔ െ 8ሻ  \n3. Melissa found the sum of 5ݔ ଶ ൅ ݔ ൅ 1 and 6ݔ ଷ ൅5൅7ݔ to be 11ݔ ଶ ൅6ݔ ൅ 8 . Explain in words the error Melissa made, and then correctly find the sum.  \n4. Write an example of a binomial with a leading coefficient of 3 and a degree of 5.  \nSimplify:  \n5. ሺ2ܽଶ ൅4ܾ ଶ െ3ሻ ൅ሺ3ܽ ൅6ܾ ଶ ൅4ܾሻ 6. ሺ5ݔ ସ ൅5ݔ ଺ െ5ሻ ൅ሺ9ݔ ଺ ൅7 െ3ݔ ସሻ  \n7. ሺ3ݖ ଷ ൅2ݖ ଶ ൅7ሻ െሺ2ݖ ଷ െ3ݖ ଶ െ6ሻ 8. ሺ2ݔ ଶ െ7ݔሻ െ ሺെ4ݔ ଶ ൅8ሻ ൅ሺ5ݔ ଷ െ4ሻ  \n9. 20ݔ ሺ3 െ 2ݔሻ 10. 3ݔ ଶ ሺ2ݔ ଶ െ5ݔ െ 3ሻ 11. ሺݔ ൅ 3ሻሺݔ ൅ 4ሻ  \n12. ሺݔ ൅ 9ሻሺݔ െ 9ሻ 13. ሺݔ ൅ 7ሻଶ 14. ሺ2ݔ ൅ 4ሻሺ2ݔ െ 4ሻ  \nFactor:  \n15. 7ݔ ଶ െ 35ݔ 16. െݔ ଷ െ5ݔ ଶ ൅8ݔ ൅ 40 17. 2ݔ ଷ ൅4ݔ ଶ െ6ݔ െ 12  \n18. ݔ ଶ െ ݔ െ12 19. ݔ ଶ െ 144 20. ݔ ଶ െ64ݕ ଵ଴  \n21. 2ݔ ଶ ൅ 16ݔ ൅ 32 22. െݔ ଶ െ7ݔ ൅ 8 23. 4ݔ ଶ െ3ݔ െ 10  \n24. ݔ ଶ ൅ 12ݕݔ ൅ 36ݕ ଶ 25. ݕ ଷ ൅ 12ݕ ଶ െ 28ݕ 26. 6ܽ ଶ െ24  \nSolve.  \n27. ݔ ଶ ൅ 11ݔ ൌ െ30 28. 4ݔ ଷ ൅ 14ݔ ଶ ൅ 12ݔ ൌ 0 29. 6ݔ ଶ െ 42ݔ ൌ 0  \n30. 4ݔ ଶ െ 29ݔ ൅ 7 ൌ 0 31. ݔ ଶ ൅8ݔ ൅ 16 ൌ 0  \n32. 9ݔ ଶ ൌ 25 33. ݔ ଶ െ20 ൌ ݔ 34. 3ݔ ଶ ൅2ݔ െ 8 ൌ 0  \n35) The polynomial ݔ ଶ ൅ 11ݔ ൅ 30 is factorable. One factor is ሺݔ ൅ 6ሻ . What is the other factor?  \nA. ሺݔ ൅ 1ሻ C. ሺݔ െ 5ሻ  \nB. ሺݔ ൅ 3ሻ D. ሺݔ ൅ 5ሻ  \n36) Factor: െ2ݔ ଷ ൅6ݔ ଶ െ 10ݔ ൅ 30","cbCaijoaxCpbA0uI","https://ap.wps.com/l/cbCaijoaxCpbA0uI","pdf",70009,"English","# Unit 8 Practice Test (Factoring)\n## Multiple-choice factor questions\n## Explanation and corrected sum\n## Binomial writing and simplification\n## Factoring problems\n## Solve equations","[{\"question\":\"How do you determine which option is a factor of a given expression?\",\"answer\":\"Check whether the expression divides evenly by the candidate factor (typically by polynomial multiplication or substitution to verify the resulting product matches). Choose the option that reproduces the original polynomial factor relationship.\"},{\"question\":\"When a polynomial is factorable and one factor is given, how do you find the other factor?\",\"answer\":\"Divide the polynomial by the given factor using polynomial long division or by matching coefficients. The quotient becomes the other factor listed in the choices.\"},{\"question\":\"What approach is used to simplify or expand polynomial expressions in this test?\",\"answer\":\"Apply distributive property carefully for each product, then combine like terms (same powers of the variables). For factoring steps, look for common factors or structures consistent with binomial/trinomial products.\"}]","Alg1_2014_Unit8_Practice_Test-(Factoring)-Q | PDF"]