Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Find the coefficient of x⁴ 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

Using binomial theorem, the term with x⁴ is C(7,4) × 1^(7-4) × (-2x)⁴ = C(7,4) × (-2)⁴ × x⁴ = 35 × 16 × x⁴ = 560 x⁴.

Hint

Use binomial theorem formula: C(n,r) a^(n-r) b^r.

Question Info