WAEC Further Mathematics 2022 Objective — Question 8

Question 8 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

Given that (8x+m)/(x²−3x−4) = 5/(x+1) + 3/(x−4), find the value of m.

A. 23
B. 17
C. −17Correct
D. −23

Explanation

Combining the right side over a common denominator: [5(x−4)+3(x+1)]/[(x+1)(x−4)] = (8x−17)/[(x+1)(x−4)]. Comparing numerators, m = −17.

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