JAMB Mathematics 2019 Objective — Question 38

Question 38 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

Resolve 3/(x²+x-2) into partial fractions

A. 1/(x-1) - 1/(x+2)Correct
B. 1/(x-1) + 1/(x+2)
C. 1/(x+1) - 1/(x-2)
D. 1/(x-1) + 1/(x-2)

Explanation

x²+x−2=(x−1)(x+2). Setting 3/[(x−1)(x+2)] = A/(x−1)+B/(x+2) and solving gives A=1, B=−1, i.e. 1/(x−1) − 1/(x+2).

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