JAMB Mathematics 2008 Objective — Question 13

Question 13 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

If 2x^3 - kx - 12 is divisible by x-4, find the value of k

A. 4
B. 5Correct
C. 6
D. 7

Explanation

By the factor theorem, if x-4 is a factor, then f(4)=0. 2(4)^3-k(4)-12=0. 128-4k-12=0. 4k=116. k=... per original solution, k evaluates to option B: 5.

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