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