JAMB Mathematics 2019 Objective — Question 36

Question 36 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

Find the values of p and q such that (x−1) and (x−3) are factors of px³+qx²+11x−6

A. 1, -6Correct
B. -6, 1
C. 1.6, 6
D. 1.6, 0.1

Explanation

Since (x−1) and (x−3) are factors, f(1)=0 and f(3)=0. Solving the resulting simultaneous equations gives p=1, q=−6.

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