Answer
$5x-27+\displaystyle \frac{72}{x+3}$
Work Step by Step
Dividing with (x-c) ... $c=-3$
$\begin{array}{rrrr}
\underline{-3}| &5 & -12 &-8 \\
& & -15 & 81 \\
&--&--&--\\
&5 & -27 &72 \end{array}$
Quotient = $ 5x-27$
Remainder = $72$
$\displaystyle \frac{dividend}{divisor}=quotient+\frac{remainder}{divisor}$
$\displaystyle \frac{5x^{2}-12x-8}{x+3}$ = $5x-27+\displaystyle \frac{72}{x+3}$
