Answer
$2x^{4}-7x^{3}+15x^{2}-31x+64-\displaystyle \frac{129}{x+2}$
Work Step by Step
Arrange the powers...
$(2x^{5}-3x^{4}+x^{3}-x^{2}+2x-1)\div(x+2)$
(no missing powers)
$\begin{array}{lllllll}
\underline{-2}| & 2 & -3 & 1 & -1 & 2 & -1\\
& & -4 & 14 & -30 & 62 & -128\\
& -- & -- & -- & -- & -- & --\\
& 2 & -7 & 15 & -31 & 64 & -129
\end{array}$
Result:
$=2x^{4}-7x^{3}+15x^{2}-31x+64-\displaystyle \frac{129}{x+2}$
