Answer
$Q(x)=x^2-3x+1$
$R(x)=-1$
Work Step by Step
Use synthetic division:
\[
\begin{array}{r|rrrr}
-3 & 1 & 0 & -8 & 2 \\ \hline
& & -3 & 9 & -3 \\
& 1 & -3 & 1 & -1
\end{array}
\]
The quotient $Q(x)$ and the reminder $R(x)$ are:
$Q(x)=x^2-3x+1$
$R(x)=-1$
