Answer
Quotient $Q(x)=3x-5$
Remainder $R(x)=5$.
Work Step by Step
$\frac{3x^2+x-5}{x+2}$, dividing using synthetic division:
$\begin{array}{lllll}
\underline{-2}| & 3 & 1 & -5 & \\
& & -6 & 10 & \\
\hline & & & & \\
& 3 & -5 & 5 &
\end{array}$
$(3x^{2}+x-5)\div(x+2)=3x-5 $ $+\frac{5}{x+2}$.
thus, Quotient is $Q(x)=3x-5$ and remainder is $R(x)=5$.
