Answer
$Q(x)=2x^{2}+4x,\quad R(x)=1$
Work Step by Step
$\left.\begin{array}{l}
1/2 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
2 & 3 & -2 & 1 & \\\hline
& 1 & 2 & 0 & \\\hline
2 & 4 & 0 & |\ \ \ 1 & \end{array}$
$Q(x)=2x^{2}+4x,\quad R(x)=1$