{"id":18452,"date":"2026-05-03T04:35:36","date_gmt":"2026-05-02T22:35:36","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/find-quadratic-parameter-from-roots-3\/"},"modified":"2026-05-03T04:35:36","modified_gmt":"2026-05-02T22:35:36","slug":"find-quadratic-parameter-from-roots-3","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/find-quadratic-parameter-from-roots-3\/","title":{"rendered":"Find Quadratic Parameter From Roots 3"},"content":{"rendered":"<p>The quadratic x^2 + px + -14 = 0 has roots -2 and 7. Find p.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-14<\/li>\n<li>-5<\/li>\n<li>14<\/li>\n<li>5<\/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-18452","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Use Vieta's formula for x\u00b2 + px + q = 0. For this form, the sum of the roots is -p and the product of the roots is q. The given roots are -2 and 7, so their sum is -2 + 7 = 5. Since sum = -p, we have -p = 5, which gives p = -5. The product -2\u00d77 = -14 also matches the constant term, so the roots are consistent. Therefore the correct answer is -5.","mcq_options":[{"right":"no","answer":"-14"},{"right":"yes","answer":"-5"},{"right":"no","answer":"14"},{"right":"no","answer":"5"}],"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\/18452","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=18452"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18452"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18452"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18452"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18452"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}