225k views
1 vote
Which of the following binomials is a factor of x cubed plus 4 x squared plus x minus 6?

A. x minus 2
B. x plus 2
C. x minus 4
D. x plus 4

User Syockit
by
8.1k points

2 Answers

5 votes

Answer:

x + 2

Explanation:

User Mvl
by
7.5k points
5 votes
The first thing we are going to do in this case is to rewrite the expression.
We have then:
x ^ 3 + 4x ^ 2 + x - 6
Factoring the expression we have:
(x-1) * (x + 2) * (x + 3)
Therefore, we observe that the following binomial is a common factor:
(x + 2)
Answer:
B. x plus 2
User Sunday Ikpe
by
7.8k points