WAEC Further Mathematics 2023 Objective — Question 16

Question 16 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

If kx^2 is a term in the binomial expansion of (1-2x)^4, find the value of k.

A. -24
B. -8
C. 8
D. 24Correct

Explanation

Using Pascal's triangle [1,4,6,4,1]: (1-2x)^4 = 1 + 4(-2x) + 6(-2x)^2 + 4(-2x)^3 + (-2x)^4. The x^2 term is 6(-2x)^2 = 6(4x^2) = 24x^2, so k=24.

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