{"id":17748,"date":"2026-05-02T19:19:13","date_gmt":"2026-05-02T13:19:13","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-9\/"},"modified":"2026-05-02T19:19:13","modified_gmt":"2026-05-02T13:19:13","slug":"remainder-by-factor-theorem-9","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-9\/","title":{"rendered":"Remainder By Factor Theorem 9"},"content":{"rendered":"<p>Find the remainder when P(x) = 5x^3 + (-5)x + (0) is divided by x &#8211; (-3).<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-120<\/li>\n<li>120<\/li>\n<li>0<\/li>\n<li>-123<\/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-17748","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 - (-3), so substitute x = -3 into the polynomial. P(-3) = 5(-3)^3 + (-5)(-3) + (0) = -135 + 15 + 0 = -120. Therefore the remainder is -120.","mcq_options":[{"right":"yes","answer":"-120"},{"right":"no","answer":"120"},{"right":"no","answer":"0"},{"right":"no","answer":"-123"}],"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\/17748","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=17748"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17748"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17748"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17748"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17748"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}