Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Find the coefficient of x^4 in the binomial expansion of (1 - 2x)^6
Options
A -332
B 28
C 560
D -56
Correct Answer

Option E is the correct answer.

Detailed Explanation

Using the binomial theorem, the general term is C(6, r)(-2x)^r. For x^4, r = 4: C(6,4)(-2)^4 = 15 × 16 = 240. Hence, the coefficient of x^4 is 240.

Hint

Use the general term C(n, r)(ax)^r and select r = 4.

Question Info