Question

Is (x+1) a factor off (x)=x3+x2−4x−4? A) Yes B) No

Answer 1

Answer:

Yes

Step-by-step 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.