{"id":17770,"date":"2026-05-02T19:21:53","date_gmt":"2026-05-02T13:21:53","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/select-factors-of-a-cubic-11\/"},"modified":"2026-05-02T19:21:53","modified_gmt":"2026-05-02T13:21:53","slug":"select-factors-of-a-cubic-11","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/select-factors-of-a-cubic-11\/","title":{"rendered":"Select Factors Of A Cubic 11"},"content":{"rendered":"<p>For P(x) = x^3 &#8211; 4*x^2 &#8211; 27*x + 90, which of the following are factors? Select all correct options.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>x &#8211; (6)<\/li>\n<li>x &#8211; (2)<\/li>\n<li>x &#8211; (1)<\/li>\n<li>x &#8211; (3)<\/li>\n<li>x &#8211; (-3)<\/li>\n<li>x &#8211; (4)<\/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-17770","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Use the Factor Theorem. A term of the form x - a is a factor of P(x) only when P(a) = 0. So do not choose a factor by appearance; test the value inside the bracket. For this polynomial, the correct listed factors are x - (6), x - (3). In other words, x - (6) because P(6) = 0, x - (3) because P(3) = 0. The other options are not factors because substituting their corresponding values does not make the polynomial equal to zero.","mcq_options":[{"right":"yes","answer":"x - (6)"},{"right":"no","answer":"x - (2)"},{"right":"no","answer":"x - (1)"},{"right":"yes","answer":"x - (3)"},{"right":"no","answer":"x - (-3)"},{"right":"no","answer":"x - (4)"}],"multi_answers":"yes","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\/17770","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=17770"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17770"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17770"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17770"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17770"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}