BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

What is the coefficient of x2 in the expression (-3x2 + 2x + 1)(x - 1)2?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

What is the coefficient of x2 in the expression (-3x2 + 2x + 1)(x - 1)2?

by Max@Math Revolution » Tue Apr 21, 2020 1:27 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

What is the coefficient of x^2 in the expression (-3x^2 + 2x + 1)(x - 1)^2?

A. -6
B. -5
C. 4
D. 5
E. 6
Top
Source: — Problem Solving |
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

Re: What is the coefficient of x2 in the expression (-3x2 + 2x + 1)(x - 1)2?

by Max@Math Revolution » Thu Apr 23, 2020 2:08 am
=>

Since (-3x^2 + 2x + 1)(x - 1)^2 = (-3x^2 + 2x + 1)(x – 1)(x – 1)
= (-3x^2 + 2x + 1)(x^2 – 2x + 1)
= -3x^4 + 6x^3 – 3x^2 + 2x^3 – 4x^2 + 2x + x^2 – 2x + 1
= -3x^4 + 8x^3 - 6x^2 + 1, and the coefficient of x^2 is -6.

Therefore, A is the answer.
Answer: A
Top
Post new topic Post Reply
• Page 1 of 1