Answer
a factor
Work Step by Step
Equating the given expression, $
x+1
,$ to zero and then solving for $x,$ then
\begin{align*}
x+1&=0
\\
x+1-1&=0-1
\\
x&=-1
.\end{align*}
Using $
-1
$ in the synthetic division below, then the remainder is $
0
$ (bottom-right number).
Since the remainder is equal to zero, then $
x+1
$ is a factor of $x^3+x^2-16x-16$.