[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-634674-105":59,"doc-detail-634674-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-5","Factorising Quadratic Equations - Sheet 5","","This educational document provides a comprehensive practice sheet for factorising quadratic equations, designated as Sheet 5. It includes a structured list of sixteen quadratic expressions requiring factorization, followed by a detailed answer key that shows the step-by-step factored form and the resulting solutions for each equation. The content is designed to help students master algebraic techniques, specifically focusing on identifying binomial factors and solving for variables. The material is suitable for classroom practice or independent study to reinforce understanding of quadratic equation principles, including cases like perfect squares and difference of squares. By working through these problems, learners can improve their proficiency in algebraic manipulation and problem-solving skills, ensuring a solid foundation in secondary mathematics topics related to polynomial equations and their roots.",{"@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-5/634674/",{"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-5/634674.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":39},"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},"This document provides a set of sixteen practice exercises for factorising quadratic equations, accompanied by an answer key for self-assessment and learning support.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the quadratic equations presented?",{"text":117,"@type":113},"Each equation is presented in its standard form (e.g., x^2 + x - 6 = 0) alongside a template for the students to fill in the factored binomials and the final solutions for the variable.",{"name":119,"@type":110,"acceptedAnswer":120},"What types of quadratic equations are included?",{"text":121,"@type":113},"The sheet covers a variety of quadratic types, including those requiring standard factorisation, perfect square trinomials, and difference of squares.","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},634674,1792899746,{"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":39,"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 5  \nFactorise these quadratic equations.  \n\n| 1) | x2 + x – 6 = 0 | (x +   )(x –   ) = 0 | x =   or   |\n| --- | --- | --- | --- |\n| 2) | y2 + 4y – 5 = 0 |  |  |\n| 3) | z2 – 2z – 8 = 0 |  |  |\n| 4) | a2 – 5a – 6 = 0 |  |  |\n| 5) | b2 – 4b + 3 = 0 |  |  |\n| 6) | c2 – 5c + 4 = 0 |  |  |\n| 7) | d2 – 3d + 2 = 0 |  |  |\n| 8) | e2 + 6e + 9 = 0 |  |  |\n| 9) | f2 – 2f – 15 = 0 |  |  |\n| 10) | g2 – 4 = 0 |  |  |\n| 11) | h2 – 6h + 5 = 0 |  |  |\n| 12) | i2 + 8i + 12 = 0 |  |  |\n| 13) | j2 – 8j + 12 = 0 |  |  |\n| 14) | k2 + 13k – 14 = 0 |  |  |\n| 15) | m2 – 5m – 14 = 0 |  |  |\n| 16) | n2 + n – 20 = 0 |  |  |\n\nFACTORISING QUADRATIC EQUATIONS SHEET 5 ANSWERS  \n\n| 1) | x2 + x – 6 = 0 | (x + 3)(x – 2) = 0 | x = -3 or 2 |\n| --- | --- | --- | --- |\n| 2) | y2 + 4y – 5 = 0 | (y + 5)(y – 1) = 0 | y = -5 or 1 |\n| 3) | z2 – 2z – 8 = 0 | (z – 4)(z + 2) = 0 | z = 4 or-2 |\n| 4) | a2 – 5a – 6 = 0 | (a – 6)(a + 1) = 0 | a = 6 or-1 |\n| 5) | b2 – 4b + 3 = 0 | (b – 3)(b – 1) = 0 | b = 1 or 3 |\n| 6) | c2 – 5c + 4 = 0 | (c – 4)(c – 1) = 0 | c = 1 or 4 |\n| 7) | d2 – 3d + 2 = 0 | (d – 2)(d – 1) = 0 | d = 1 or 2 |\n| 8) | e2 + 6e + 9 = 0 | (e + 3)(e + 3) = 0 or (e + 3)2 = 0 | e = -3 |\n| 9) | f2 – 2f – 15 = 0 | (f – 5)(f + 3) = 0 | f = 5 or-3 |\n| 10) | g2 – 4 = 0 | (g + 2)(g – 2) = 0 | g = 2 or-2 |\n| 11) | h2 – 6h + 5 = 0 | (h – 5)(h – 1) = 0 | h = 1 or 5 |\n| 12) | i2 + 8i + 12 = 0 | (i + 6)(i + 2) = 0 | i = -6 or-2 |\n| 13) | j2 – 8j + 12 = 0 | (j – 6)(j – 2) = 0 | j = 2 or 6 |\n| 14) | k2 + 13k – 14 = 0 | (k + 14)(k – 1) = 0 | k = -14 or 1 |\n| 15) | m2 – 5m – 14 = 0 | (m – 7)(m + 2) = 0 | m = 7 or-2 |\n| 16) | n2 + n – 20 = 0 | (n + 5)(n – 4) = 0 | n = -5 or 4 |","cbCaikfkJ80ThZxs","https://ap.wps.com/l/cbCaikfkJ80ThZxs","pdf",141594,"English","# Factorising Quadratic Equations Sheet 5\n## Answer Key","[{\"question\":\"What is the purpose of this document?\",\"answer\":\"This document provides a set of sixteen practice exercises for factorising quadratic equations, accompanied by an answer key for self-assessment and learning support.\"},{\"question\":\"How are the quadratic equations presented?\",\"answer\":\"Each equation is presented in its standard form (e.g., x^2 + x - 6 = 0) alongside a template for the students to fill in the factored binomials and the final solutions for the variable.\"},{\"question\":\"What types of quadratic equations are included?\",\"answer\":\"The sheet covers a variety of quadratic types, including those requiring standard factorisation, perfect square trinomials, and difference of squares.\"}]","Factorising Quadratic Equations - Sheet 5 | PDF",1792674271]