Answer
$x^{4} - 16x^{3} + 48x^{2} - 144x + 312 - \frac{856}{x + 3}$
Work Step by Step
Since we are dividing by (x + 3) the zero of that x = -3 goes into the top left space.
$\hspace{0mm}\underline{-3|}\hspace{5mm}1\hspace{5mm}-13\hspace{5mm}0\hspace{10mm}0\hspace{5mm}-120\hspace{5mm}80\hspace{5mm}$
$\hspace{23mm}\underline{-3\hspace{5mm}48\hspace{3mm}-144\hspace{5mm}432\hspace{2mm}-936}$ $\hspace{8mm}1\hspace{10mm}-16\hspace{4mm}48\hspace{3mm}-144\hspace{5mm}312\hspace{3mm}\underline{|-856}$
Since the bottom right space has a -856, the remainder is -856.
