Question Detail

MTH 101 Binomial Expansion Objective Question
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Question

Expand √(1 + 3x) up to the term in x^3.

Options
A 1 + 1.5x - 1.125x^2 + $1 + 1.5x - 1.125x^2 + 1.6875x^3
Correct Answer
B 1 + 3x - 4.5x^2 + 2.25x^3
C 1 + 1.5x + 1.125x^2 + 0.421875x^3
D 1 + 1.5x - 1.125x^2 - 0.421875x^3
Correct Answer

Option A is the correct answer.

Detailed Explanation

Use binomial theorem for fractional powers: (1+x)^n ≈ 1 + nx + n(n-1)/2! x^2 + n(n-1)(n-2)/3! x^3

Hint

Here n=1/2, x=3x.

Question Info

Course: MTH 101
Topic: Binomial Expansion
Type: Objective
Difficulty: Not specified
Question 69 of 696
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