Answer
$4x^2+x-6+\dfrac{6}{x+5}$
Work Step by Step
Using the long division method below, the given expression, $
(4x^3+21x^2-x-24)\div(x+5)
,$ is equal to
\begin{align*}
4x^2+x-6+\dfrac{6}{x+5}
.\end{align*}
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