Question Detail

MTH 101 Binomial Expansion Objective Question

Question

In expansion of (1 + 2x)^4, find coefficient of x^3.
Options
A 32
Correct Answer
B 24
C 16
D 48
Correct Answer

Option A is the correct answer.

Detailed Explanation

T_4 = C(4,3)(2x)^3 = 4*8x^3=32x^3

Hint

General term: T_{r+1} = C(4,r)*(2x)^r*1^(4-r).

Question Info