Question Detail

MTH 101 Binomial Expansion Objective Question
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Question

Expand (1 + x)^5 up to x^3.
Options
A 1 + 5x + 10x^2 + 10x^3
Correct Answer
B 1 + 5x + 10x^2 + 5x^3
C 1 + 4x + 6x^2 + 4x^3
D 1 + 5x + 15x^2 + 10x^3
Correct Answer

Option A is the correct answer.

Detailed Explanation

Use formula T_{r+1} = C(5,r)x^r → coefficients 1,5,10,10 for r=0..3

Hint

Compute C(5,0..3).

Question Info

Course: MTH 101
Topic: Binomial Expansion
Type: Objective
Difficulty: Not specified
Question 76 of 696
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