{"id":17753,"date":"2026-05-02T19:19:52","date_gmt":"2026-05-02T13:19:52","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-14\/"},"modified":"2026-05-02T19:19:52","modified_gmt":"2026-05-02T13:19:52","slug":"remainder-by-factor-theorem-14","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-14\/","title":{"rendered":"Remainder By Factor Theorem 14"},"content":{"rendered":"<p>Find the remainder when P(x) = 5x^3 + (3)x + (-10) is divided by x &#8211; (-3).<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-154<\/li>\n<li>-157<\/li>\n<li>-2<\/li>\n<li>154<\/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-17753","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 + (3)(-3) + (-10) = -135 + -9 + -10 = -154. Therefore the remainder is -154.","mcq_options":[{"right":"yes","answer":"-154"},{"right":"no","answer":"-157"},{"right":"no","answer":"-2"},{"right":"no","answer":"154"}],"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\/17753","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=17753"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17753"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17753"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17753"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17753"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}