Answer
$x-2$ is a factor of P(x) since when P(x) is divide by $x-2$, the remainder is 0.
(refer to the step by step part for the solution)
Work Step by Step
RECALL:
The factor theorem states that c is a zero of P if and only if x−c is a factor of P(x).
$c=2$ therefore $x-c = x-2$
Divide P(x) by $x+1$ using synthetic division to have:
