Answer
a factor
Work Step by Step
Equate the $x-4$ to zero then solvefor $x$:
\begin{align*}
x-4&=0
\\
x-4+4&=0+4
\\
x&=4
.\end{align*}
Using $
4
$ in the synthetic division below, then the remainder is $
12
$ (bottom-right number).
Since the remainder is equal to zero, then $
x-4
$ is a factor of $x^3+x^2-16x-16$.
