Answer
$x^{2} + 6x + 9 + \frac{7x + 11}{x^{2} - x - 3}$
Work Step by Step
$ \hspace{20mm}x^{2} + 6x + 9$
$ x^{2} - x -3\overline{)x^{4} + 5x^{3} - 20x - 16}$
$ \hspace{22mm}\underline{x^{4} - x^{3} - 3x^{2}}$
$ \hspace{32mm}6x^{3} + 3x^{2} - 20x - 16$
$ \hspace{32mm}\underline{6x^{3} - 6x^{2} - 18x}$
$\hspace{45mm}9x^{2} - 2x - 16$
$ \hspace{45mm}\underline{9x^{2} - 9x - 27}$
$ \hspace{57mm}7x + 11$
