{"id":21258,"date":"2026-05-25T22:27:02","date_gmt":"2026-05-25T16:27:02","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/factorize-an-algebraic-expression-8\/"},"modified":"2026-05-25T22:27:02","modified_gmt":"2026-05-25T16:27:02","slug":"factorize-an-algebraic-expression-8","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/factorize-an-algebraic-expression-8\/","title":{"rendered":"Factorize an algebraic expression"},"content":{"rendered":"<p>Factorize completely: 50x + 5.<\/p>\n<ul class=\"quiz-options\">\n<li>5(10x + 1)<\/li>\n<li>5(10x &#8211; 1)<\/li>\n<li>6(10x)<\/li>\n<li>10(5x + 1)<\/li>\n<li>50(x + 1)<\/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-21258","mcq","type-mcq","status-publish","hentry","topic-factorization","topic-polynomials","subject-advanced-mathematics","education_level-grade-8"],"mcq_note":"Find the greatest common factor of both terms. Both 50x and 5 share 5, so take 5 outside the bracket. Factoring means writing the expression as a product. After taking out the greatest common factor, check that multiplying it back into the bracket gives every original term. The correct answer is 5(10x + 1), which matches the calculation or reasoning shown.","mcq_options":[{"right":"yes","answer":"5(10x + 1)"},{"right":"no","answer":"5(10x - 1)"},{"right":"no","answer":"6(10x)"},{"right":"no","answer":"10(5x + 1)"},{"right":"no","answer":"50(x + 1)"}],"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\/21258","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=21258"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=21258"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=21258"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=21258"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=21258"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}