Question Detail

MTH 101 Binomial Expansion Objective Question
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Question

Expand and simplify the coefficients of (2x + 1)^4.
Options
A 16x^4 + 32x^3 + 24x^2 + 8x + 1
Correct Answer
B 8x^4 + 16x^3 + 24x^2 + 8x + 1
C 16x^4 + 32x^3 + 24x^2 + 4x + 1
D 16x^4 + 32x^3 + 24x^2 + 8x + 2
Correct Answer

Option A is the correct answer.

Detailed Explanation

Use binomial theorem: (a+b)^n = Σ C(n,k)a^(n-k)b^k. Coefficients: 16,32,24,8,1.

Hint

Compute C(4, k) × (2x)^(4-k) × 1^k for k=0..4.

Question Info

Course: MTH 101
Topic: Binomial Expansion
Type: Objective
Difficulty: Not specified
Question 66 of 696
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