Answer
$-x^{2} + 3x - 6 + \frac{11}{x + 1}$
Work Step by Step
Since we are dividing by (x + 1) the zero of that x = -1 goes into the top left space.
$\hspace{0mm}\underline{-1|}\hspace{10mm}-1\hspace{10mm}2\hspace{10mm}-3\hspace{10mm}5$
$\hspace{35mm}\underline{1\hspace{9mm}-3\hspace{11mm}6}$
$\hspace{19mm}-1\hspace{10mm}3\hspace{9mm}-6\hspace{9mm}\underline{|11}$
Since the bottom right space has a 11, the remainder is 11.
