Answer
$4c^2+9c+7+\frac{{36}}{{3c-4}}$
Work Step by Step
Re-arranging the order of the terms, the given is equivalent to
$$
(12c^3+11c^2-15c+8)÷(3c-4)
.$$
Using the long division method shown below, then
$$\begin{aligned}
&
(12c^3+11c^2-15c+8)÷(3c-4)
\\&=
4c^2+9c+7+\frac{\color{red}{36}}{\color{blue}{3c-4}}
.\end{aligned}
$$
