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This material is ideal for mathematics students seeking reinforcement in basic algebra, quadratic expression manipulation, and solving for roots. The structured format allows for easy self-assessment and guided learning in a classroom or home study environment.",{"@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/factorising-quadratic-equations-sheet-4/634673/",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/factorising-quadratic-equations-sheet-4/634673.png","ImageObject",300,407,{"name":42,"@type":43},"Taylor Morgan","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the primary objective of this practice sheet?","Question",{"text":63,"@type":64},"The sheet is designed to help students practice factorising quadratic equations, specifically those that involve one positive and one negative factor in their bracketed form.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Are there answers provided for the exercises?",{"text":68,"@type":64},"Yes, the document includes a comprehensive answer key that lists the step-by-step factorization and the final roots for all sixteen problems.",{"name":70,"@type":61,"acceptedAnswer":71},"How are the quadratic equations formatted in the answer key?",{"text":72,"@type":64},"The answer key presents each equation in its standard quadratic form, shows the factored bracketed form, and lists the calculated values for the variable.","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},634673,1792877972,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"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":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"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":143,"read_time":96},1099523885336,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","FACTORISING QUADRATIC EQUATIONS SHEET 4  \nFactorise these quadratic equations. One bracket positive, one negative.  \n\n| 1) | x2 + 2x – 15 = 0 | x 2 + 5x – 3x – 15 = (x + 5)(x – 3) = 0 | x = -5 or 3 |\n| --- | --- | --- | --- |\n| 2) | x2 – 2x – 15 = 0 |  |  |\n| 3) | y2 + 9y – 10 = 0 |  |  |\n| 4) | y2 – 9y – 10 = 0 |  |  |\n| 5) | z2 + 4z – 12 = 0 |  |  |\n| 6) | z2 – 4z – 12 = 0 |  |  |\n| 7) | a2 + 5a – 14 = 0 |  |  |\n| 8) | a2 – 5a – 14 = 0 |  |  |\n| 9) | b2 + b – 6 = 0 |  |  |\n| 10) | b2 – b – 6 = 0 |  |  |\n| 11) | c2 – 6c – 7 = 0 |  |  |\n| 12) | c2 + 6c – 7 = 0 |  |  |\n| 13) | d2 – 9 = 0 |  |  |\n| 14) | e2 – 2e – 8 = 0 |  |  |\n| 15) | e2 + 2e – 8 = 0 |  |  |\n| 16) | f2 – 16 = 0 |  |  |\n\nFACTORISING QUADRATIC EQUATIONS SHEET 4 ANSWERS  \n\n| 1) | x2 + 2x – 15 = 0 | x 2 + 5x – 3x – 15 = (x + 5)(x – 3) | x = -5 or 3 |\n| --- | --- | --- | --- |\n| 2) | x2 – 2x – 15 = 0 | (x – 5)(x + 3) = 0 | x = 5 or-3 |\n| 3) | y2 + 9y – 10 = 0 | (y + 10)(y – 1) = 0 | y = -10 or 1 |\n| 4) | y2 – 9y – 10 = 0 | (y – 10)(y + 1) = 0 | y = 10 or-1 |\n| 5) | z2 + 4z – 12 = 0 | (z + 6)(z – 2) = 0 | z = -6 or 2 |\n| 6) | z2 – 4z – 12 = 0 | (z – 6)(z + 2) = 0 | z = 6 or-2 |\n| 7) | a2 + 5a – 14 = 0 | (a +7)(a – 2) = 0 | a = -7 or 2 |\n| 8) | a2 – 5a – 14 = 0 | (a – 7)(a + 2) = 0 | a = 7 or-2 |\n| 9) | b2 + b – 6 = 0 | (b + 3)(b – 2) = 0 | b = -3 or 2 |\n| 10) | b2 – b – 6 = 0 | (b – 3)(b + 2) = 0 | b = 3 or-2 |\n| 11) | c2 – 6c – 7 = 0 | (c – 7)(c + 1) = 0 | c = 7 or-1 |\n| 12) | c2 + 6c – 7 = 0 | (c + 7)(c – 1) = 0 | c = -7 or 1 |\n| 13) | d2 – 9 = 0 | (d + 3)(d – 3) = 0 | d = 3 or-3 |\n| 14) | e2 – 2e – 8 = 0 | (e – 4)(e + 2) = 0 | e = 4 or-2 |\n| 15) | e2 + 2e – 8 = 0 | (e + 4)(e – 2) = 0 | e = -4 or 2 |\n| 16) | f2 – 16 = 0 | (f + 4)(f – 4) = 0 | f = 4 or-4 |","cbCaitgeRVMpKEw0","https://ap.wps.com/l/cbCaitgeRVMpKEw0","pdf",140639,"English","# Practice Exercises\n## Answer Key","[{\"question\":\"What is the primary objective of this practice sheet?\",\"answer\":\"The sheet is designed to help students practice factorising quadratic equations, specifically those that involve one positive and one negative factor in their bracketed form.\"},{\"question\":\"Are there answers provided for the exercises?\",\"answer\":\"Yes, the document includes a comprehensive answer key that lists the step-by-step factorization and the final roots for all sixteen problems.\"},{\"question\":\"How are the quadratic equations formatted in the answer key?\",\"answer\":\"The answer key presents each equation in its standard quadratic form, shows the factored bracketed form, and lists the calculated values for the variable.\"}]","Factorising Quadratic Equations - Sheet 4 | PDF",1792674269]