[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-634668-105":59,"doc-detail-634668-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","factorising-quadratic-equations-sheet-11","Factorising Quadratic Equations - Sheet 11","","This educational document provides a structured practice exercise focused on factorising quadratic equations. It includes sixteen distinct algebraic problems designed to test a student's ability to identify factors for various quadratic expressions, including those with leading coefficients greater than one. Each problem presents the original quadratic equation, followed by a corresponding section providing step-by-step factorization results and the final solutions for the unknown variables. The content serves as a valuable resource for students and educators in middle or secondary school mathematics, facilitating mastery of algebraic manipulation and equation solving through repetitive, guided practice. By covering a range of coefficients and constant terms, the material ensures comprehensive coverage of fundamental factorization techniques, aiding learners in developing algebraic fluency and confidence in solving quadratic equations effectively.",{"@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/factorising-quadratic-equations-sheet-11/634668/",{"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/factorising-quadratic-equations-sheet-11/634668.png","ImageObject",300,407,{"name":92,"@type":93},"Taylor Morgan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",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 is the purpose of this document?","Question",{"text":112,"@type":113},"The document is designed to provide practice in factorising quadratic equations for mathematics students.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many problems are included in the worksheet?",{"text":117,"@type":113},"There are sixteen quadratic equations to be factorised and solved in the provided sheet.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the document include solutions?",{"text":121,"@type":113},"Yes, the document includes a comprehensive answer key at the end that lists the factorised forms and the solutions for each equation.","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},634668,1792939054,{"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":14,"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":24},1099523885336,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","FACTORISING QUADRATIC EQUATIONS SHEET 11  \nFactorise these quadratic equations.  \n\n| 1) | 2x2 + 13x + 15 = 0 | (2x +   )(x +   ) = 0 | x =   or   |\n| --- | --- | --- | --- |\n| 2) | 2y2 – y – 21 = 0 |  |  |\n| 3) | 2z2 – 12z – 14 = 0 |  |  |\n| 4) | 2a2 – 21a – 11 = 0 |  |  |\n| 5) | 2b2 + 10b + 12 = 0 |  |  |\n| 6) | 2c2 – 13c + 6 = 0 |  |  |\n| 7) | 2d2 – 12d + 10 = 0 |  |  |\n| 8) | 2e2 – 12e + 16 = 0 |  |  |\n| 9) | 3f2 – 8f + 5 = 0 |  |  |\n| 10) | 3g2 – 8g – 11 = 0 |  |  |\n| 11) | 3h2 + 10h + 7 = 0 |  |  |\n| 12) | 3i2 – 8i – 3 = 0 |  |  |\n| 13) | 3j2 – 25j + 8 = 0 |  |  |\n| 14) | 5k2 + 11k + 2 = 0 |  |  |\n| 15) | 5m2 – 6m – 11 = 0 |  |  |\n| 16) | 5n2 – 36n + 7 = 0 |  |  |\n\nFACTORISING QUADRATIC EQUATIONS SHEET 11 ANSWERS  \n\n| 1) | 2x2 + 13x + 15 | (2x + 3)(x + 5) = 0 | x = - 2 or-5 |\n| --- | --- | --- | --- |\n| 2) | 2y2 – y – 21 | (2y –7)(y + 3) = 0 | y = 2 or-3 |\n| 3) | 2z2 – 12z – 14 | (2z –14)(z + 1) = 0 | z = 7 or-1 |\n| 4) | 2a2 – 21a – 11 | (2a + 1)(a – 11) = 0 | a = -½ or 11 |\n| 5) | 2b2 + 10b + 12 | (2b + 4)(b + 3) = 0 | b = -2 or-3 |\n| 6) | 2c2 – 13c + 6 | (2c – 1)(c – 6) = 0 | c = ½ or 6 |\n| 7) | 2d2 – 12d + 10 | (2d – 10)(d – 1) = 0 | d = 5 or 1 |\n| 8) | 2e2 – 12e + 16 | (2e – 8)(e – 2) = 0 | e = 4 or 2 |\n| 9) | 3f2 – 8f + 5 | (3f – 5)(f – 1) = 0 | f = 3 or 1 |\n| 10) | 3g2 – 8g – 11 | (3g – 11)(g + 1) = 0 | g = 13 or-1 |\n| 11) | 3h2 + 10h + 7 | (3h + 7)(h + 1) = 0 | h = - 3 or-1 |\n| 12) | 3i2 – 8i – 3 | (3i + 1)(i – 3) = 0 | i = - 3 or 3 |\n| 13) | 3j2 – 25j + 8 | (3j – 1)(j – 8) = 0 | j = 3 or 8 |\n| 14) | 5k2 + 11k + 2 | (5k + 1)(k + 2) = 0 | k = - 5 or-2 |\n| 15) | 5m2 – 6m – 11 | (5m – 11)(m + 1) = 0 | m = 15 or-1 |\n| 16) | 5n2 – 36n + 7 | (5n – 1)(n – 7) = 0 | n = 5 or 7 |","cbCaijB4KZyHuam8","https://ap.wps.com/l/cbCaijB4KZyHuam8","pdf",143192,"English","# Factorising Quadratic Equations Problems\n## Answer Key","[{\"question\":\"What is the purpose of this document?\",\"answer\":\"The document is designed to provide practice in factorising quadratic equations for mathematics students.\"},{\"question\":\"How many problems are included in the worksheet?\",\"answer\":\"There are sixteen quadratic equations to be factorised and solved in the provided sheet.\"},{\"question\":\"Does the document include solutions?\",\"answer\":\"Yes, the document includes a comprehensive answer key at the end that lists the factorised forms and the solutions for each equation.\"}]","Factorising Quadratic Equations - Sheet 11 | PDF",1792674260]