{"id":17757,"date":"2026-05-02T19:20:21","date_gmt":"2026-05-02T13:20:21","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-18\/"},"modified":"2026-05-02T19:20:21","modified_gmt":"2026-05-02T13:20:21","slug":"remainder-by-factor-theorem-18","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-18\/","title":{"rendered":"Remainder By Factor Theorem 18"},"content":{"rendered":"<p>Find the remainder when P(x) = 5x^3 + (-5)x + (-4) is divided by x &#8211; (2).<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>26<\/li>\n<li>-26<\/li>\n<li>-4<\/li>\n<li>28<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705],"subject":[1425],"education_level":[1896],"class_list":["post-17757","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Apply the Remainder Theorem carefully. When a polynomial P(x) is divided by x - a, the remainder is P(a). Here the divisor is x - (2), so substitute x = 2 into the polynomial. P(2) = 5(2)^3 + (-5)(2) + (-4) = 40 + -10 + -4 = 26. Therefore the remainder is 26.","mcq_options":[{"right":"yes","answer":"26"},{"right":"no","answer":"-26"},{"right":"no","answer":"-4"},{"right":"no","answer":"28"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/17757","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=17757"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17757"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17757"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17757"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17757"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}