{"id":17743,"date":"2026-05-02T19:18:36","date_gmt":"2026-05-02T13:18:36","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-4\/"},"modified":"2026-05-02T19:18:36","modified_gmt":"2026-05-02T13:18:36","slug":"remainder-by-factor-theorem-4","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-4\/","title":{"rendered":"Remainder By Factor Theorem 4"},"content":{"rendered":"<p>Find the remainder when P(x) = 2x^3 + (-6)x + (2) is divided by x &#8211; (-2).<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-4<\/li>\n<li>2<\/li>\n<li>-2<\/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-17743","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) = 2(-2)^3 + (-6)(-2) + (2) = -16 + 12 + 2 = -2. Therefore the remainder is -2.","mcq_options":[{"right":"no","answer":"-4"},{"right":"no","answer":"2"},{"right":"yes","answer":"-2"}],"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\/17743","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=17743"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17743"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17743"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17743"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17743"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}