{"id":21174,"date":"2026-05-25T22:26:57","date_gmt":"2026-05-25T16:26:57","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/factorize-an-algebraic-expression-3\/"},"modified":"2026-05-25T22:26:57","modified_gmt":"2026-05-25T16:26:57","slug":"factorize-an-algebraic-expression-3","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/factorize-an-algebraic-expression-3\/","title":{"rendered":"Factorize an algebraic expression"},"content":{"rendered":"<p>Factorize: x\u00b2 &#8211; 100.<\/p>\n<ul class=\"quiz-options\">\n<li>x(x &#8211; 10)<\/li>\n<li>(x + 100)(x &#8211; 1)<\/li>\n<li>(x &#8211; 10)(x &#8211; 10)<\/li>\n<li>(x + 10)(x + 10)<\/li>\n<li>(x + 10)(x &#8211; 10)<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2613,2738],"subject":[2750],"education_level":[1894],"class_list":["post-21174","mcq","type-mcq","status-publish","hentry","topic-factorization","topic-polynomials","subject-advanced-mathematics","education_level-grade-8"],"mcq_note":"This is a difference of squares: x\u00b2 \u2212 100 = x\u00b2 \u2212 10\u00b2, so it becomes (x + 10)(x \u2212 10). This pattern works because a square minus another square can be written as two conjugate factors. Multiplying the two brackets back gives the original expression, so it is a good way to check the answer. The correct answer is (x + 10)(x - 10), which matches the calculation or reasoning shown.","mcq_options":[{"right":"no","answer":"x(x - 10)"},{"right":"no","answer":"(x + 100)(x - 1)"},{"right":"no","answer":"(x - 10)(x - 10)"},{"right":"no","answer":"(x + 10)(x + 10)"},{"right":"yes","answer":"(x + 10)(x - 10)"}],"multi_answers":"no","subject_terms":[{"id":2750,"title":"Advanced Mathematics","slug":"advanced-mathematics"}],"topic_terms":[{"id":2613,"title":"Factorization","slug":"factorization"},{"id":2738,"title":"Polynomials","slug":"polynomials"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/21174","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=21174"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21174"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21174"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21174"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}