Answer
Quotient $Q(x)=2x-3$
Remainder $R(x)=12$
Work Step by Step
$\begin{array}{lllllll}
& & 2x & -3 & & & \\
& -- & -- & -- & -- & -- & \\
x^2+2x-1\ ) & 2x^{3} & +x^{2} & -8x & +15 & \\
& -2x^{3} & -4x^{2} & +2x & & & \\
& -- & -- & & & & \\
& & -3x^{2} & -6x & +15 & & \\
& & +3x^{2} & +6x & -3 & & \\
& & -- & -- & & & \\
& & & & +12 & & \\
\end{array}$
$Q(x)=2x-3$
$R(x)=12$
