#### Answer

The answer is $4c^2 +9c+7+\frac{36}{3c-4}$

#### Work Step by Step

$(12c^3+11c^2-15c+8) \div (-4+3c)$
$=(12c^3+11c^2-15c+8) \div (3c-4)$
$4c^2$
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$3c-4)12c^3+11c^2-15c+8$
$-12c^3+16c^2$
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$27c^2-15c$
$-27c^2+36c$
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$21c+8$
$-21c+28$
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$36$
The answer is $4c^2 +9c+7+\frac{36}{3c-4}$.