Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Find the coefficient of x^4 in the binomial expansion of (1 - 2x)^7
Options
A -332
B 28
C 560
Correct Answer
D -56
Correct Answer

Option C is the correct answer.

Detailed Explanation

The general term is C(7, r)(-2x)^r. For x^4, r = 4: C(7,4)(-2)^4 = 35 × 16 = 560.

Hint

Use C(n, r)(ax)^r and pick r = 4.

Question Info