Answer
2x - 8 + $\frac{x- 1}{x^{2} + 1}$
Work Step by Step
$ \hspace{11.5mm}2x - 8$
$ x^{2} + 1\overline{)2x^{3} - 8x^{2} + 3x - 9}$
$ \hspace{14mm}\underline{2x^{3} + 2x}$
$ \hspace{21mm}-8x^{2} + x - 9$
$ \hspace{21mm}\underline{-8x^{2} - 8}$
$\hspace{35mm}x - 1$
