Answer
$Q(x)=3x^{2}+3x+6,\quad R(x)=31$
Work Step by Step
$\left.\begin{array}{l}
5 \ \lfloor \\ \\ \\ \end{array}\right.\begin{array}{rrrrr}
3 & -12 & -9& 1 & \\\hline
& 15 & 15 & 30 & \\\hline
3 & 3 & 6 & |\ \ \ 31 & \end{array}$
$Q(x)=3x^{2}+3x+6,\quad R(x)=31$
