[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-634675-en":3,"doc-seo-634675-105":31,"detail-sidebar-cat-0-en-105":96},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":28,"seo_description":14,"update_tm":29,"read_time":30},634675,1099523885336,"Taylor Morgan","https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c",4,"Exam","Factorising Quadratic Equations - Sheet 6","This document provides a structured set of mathematics practice exercises focused on factorising quadratic equations. It contains 16 distinct quadratic equations that students are tasked to factorise, along with a corresponding answer key detailing the step-by-step factored form and the resulting solutions for each equation. The content is designed to reinforce algebraic skills and provide an effective assessment tool for students learning to solve quadratic problems. By presenting the questions and answers in a clear tabular format, the document serves as an excellent resource for independent study, classroom practice, or homework assignments, enabling users to verify their results against the provided solutions for accuracy and better conceptual understanding.","FACTORISING QUADRATIC EQUATIONS SHEET 6  \nFactorise these quadratic equations.  \n\n| 1) | x2 + x – 6 = 0 | (x +   )(x –   ) = 0 | x =   or   |\n| --- | --- | --- | --- |\n| 2) | y2 – 5y + 4 = 0 |  |  |\n| 3) | z2 + z – 20 = 0 |  |  |\n| 4) | a2 + 3a – 10 = 0 |  |  |\n| 5) | b2 – 2b – 15 = 0 |  |  |\n| 6) | c2 + 7c + 12 = 0 |  |  |\n| 7) | d2 – d – 12 = 0 |  |  |\n| 8) | e2 + 2e – 24 = 0 |  |  |\n| 9) | f2 – 8f + 15 = 0 |  |  |\n| 10) | g2 – 3g – 18 = 0 |  |  |\n| 11) | h2 + 4h – 21 = 0 |  |  |\n| 12) | i2 – 12i + 20 = 0 |  |  |\n| 13) | j2 – 25 = 0 |  |  |\n| 14) | k2 – 3k – 28 = 0 |  |  |\n| 15) | m2 + m – 30 = 0 |  |  |\n| 16) | n2 – 12n + 32 = 0 |  |  |\n\nFACTORISING QUADRATIC EQUATIONS SHEET 6 ANSWERS  \n\n| 1) | x2 + x – 6 = 0 | (x + 3)(x – 2) = 0 | x = -3 or 2 |\n| --- | --- | --- | --- |\n| 2) | y2 – 5y + 4 = 0 | (y – 4)(y – 1) = 0 | y = 1 or 4 |\n| 3) | z2 + z – 20 = 0 | (z + 5)(z – 4) = 0 | z = -5 or 4 |\n| 4) | a2 + 3a – 10 = 0 | (a + 5)(a – 2) = 0 | a = -5 or 2 |\n| 5) | b2 – 2b – 15 = 0 | (b – 5)(b + 3) = 0 | b = 5 or-3 |\n| 6) | c2 + 7c + 12 = 0 | (c + 4)(c + 3) = 0 | c = -4 or-3 |\n| 7) | d2 – d – 12 = 0 | (d – 4)(d + 3) = 0 | d = 4 or-3 |\n| 8) | e2 + 2e – 24 = 0 | (e + 6)(e – 4) = 0 | e = -6 or 4 |\n| 9) | f2 – 8f + 15 = 0 | (f – 5)(f – 3) = 0 | f = 3 or 5 |\n| 10) | g2 – 3g – 18 = 0 | (g – 6)(g + 3) = 0 | g = 6 or-3 |\n| 11) | h2 + 4h – 21 = 0 | (h + 7)(h – 3) = 0 | h = -7 or 3 |\n| 12) | i2 – 12i + 20 = 0 | (i – 10)(i – 2) = 0 | i = 2 or 10 |\n| 13) | j2 – 25 = 0 | (j + 5)(j – 5) = 0 | j = 5 or-5 |\n| 14) | k2 – 3k – 28 = 0 | (k – 7)(k + 4) = 0 | k = 7 or-4 |\n| 15) | m2 + m – 30 = 0 | (m + 6)(m – 5) = 0 | m = -6 or 5 |\n| 16) | n2 – 12n + 32 = 0 | (n – 8)(n – 4) = 0 | n = 4 or 8 |","cbCaie7Ix110vKrH","https://ap.wps.com/l/cbCaie7Ix110vKrH","pdf",141638,3,1,2,"English","en",105,"# Factorising Quadratic Equations Exercises\n## Answer Key","[{\"question\":\"What is the purpose of this worksheet?\",\"answer\":\"This worksheet is designed to help students practice and master the process of factorising various quadratic equations.\"},{\"question\":\"How many quadratic equations are included in the practice set?\",\"answer\":\"There are 16 quadratic equations in total provided for practice, each with a corresponding solution in the answer key.\"},{\"question\":\"Are the solutions provided for every equation?\",\"answer\":\"Yes, the document includes a comprehensive answer key that lists the factored form and the roots for all 16 quadratic equations provided in the exercise section.\"}]","Factorising Quadratic Equations - 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