Answer
$-3x^{3} - 6x^{2} - 12x - 24 - \frac{48}{x - 2}$
Work Step by Step
Since we are dividing by (x - 2) the zero of that x = 2 goes into the top left space.
$\hspace{0mm}\underline{2|}\hspace{10mm}-3\hspace{10mm}0\hspace{10mm}0\hspace{10mm}0\hspace{10mm}0$
$\hspace{30mm}\underline{-6\hspace{3mm}-12\hspace{4mm}-24\hspace{3mm}-48}$
$\hspace{15mm}-3\hspace{7mm}-6\hspace{4mm}-12\hspace{3mm}-24\hspace{3mm}\underline{|-48}$
Since the bottom right space has a -48, the remainder is -48.
