WAEC Further Mathematics 2022 Objective — Question 14

Question 14 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

Find the coefficient of x² in the binomial expansion of (x+2/x²)⁵.

A. 10Correct
B. 40
C. 32
D. 80

Explanation

The general term is ⁵C_r x^(5−3r)2^r. For the power of x to equal 2, 5−3r=2, so r=1. The coefficient is ⁵C₁×2¹ = 5×2 = 10.

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