Answer
$x^{3} + 3x^{2}$ - 1
Work Step by Step
$ \hspace{11.5mm}x^{3} + 3x^{2} - 1$
$ x + 2\overline{)x^{4} + 5x^{3} + 6x^{2} - x - 2}$
$ \hspace{12mm}\underline{x^{4} + 2x^{3}}$
$ \hspace{21mm}3x^{3} + 6x^{2}$
$ \hspace{21mm}\underline{3x^{3} + 6x^{2}}$
$\hspace{35mm}0 - x - 2$
$ \hspace{40mm}\underline{- x - 2}$
$ \hspace{50mm}0$