{"id":17752,"date":"2026-05-02T19:19:45","date_gmt":"2026-05-02T13:19:45","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-13\/"},"modified":"2026-05-02T19:19:45","modified_gmt":"2026-05-02T13:19:45","slug":"remainder-by-factor-theorem-13","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-by-factor-theorem-13\/","title":{"rendered":"Remainder By Factor Theorem 13"},"content":{"rendered":"<p>Find the remainder when P(x) = 3x^3 + (4)x + (-10) is divided by x &#8211; (2).<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>22<\/li>\n<li>24<\/li>\n<li>-22<\/li>\n<li>-3<\/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-17752","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) = 3(2)^3 + (4)(2) + (-10) = 24 + 8 + -10 = 22. Therefore the remainder is 22.","mcq_options":[{"right":"yes","answer":"22"},{"right":"no","answer":"24"},{"right":"no","answer":"-22"},{"right":"no","answer":"-3"}],"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\/17752","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=17752"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17752"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17752"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17752"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17752"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}