Question

Is (x+1) a factor off (x)=x3+x2−4x−4?

A) Yes
B) No

Answer 1

Yes

Explanation:

If x + 1 is a factor, x = -1 has to be a root

(-1)³ + (-1)² - 4(-1) - 4

0

Answer 2

Remainder theorem again...

`p(x)=x^3+x^2-4x-4`

`p(-1)=(-1)^3+(-1)^2-4(-1)-4=0`

So Yes,
`x+1` is a factor.