Answer
$x^4+2x^3+4x^2+8x+16$
Work Step by Step
Equating the divisor of the expression to 0 and then solving gives:
\begin{align*}
x-2&=0
\\
x&=2
.\end{align*}
The last row of numbers, $\{
1,2,4,8,16,0
\},$ represents the coefficients of the quotient and the remainder. Hence, $(
x^5-32
)\div(
x-2
)$ is equal to
\begin{align*}
x^4+2x^3+4x^2+8x+16
.\end{align*}
