#### Answer

$(m+4)(m^2-6)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
Group the terms of the given expression, $
m^3+4m^2-6m-24
,$ such that the factored form of the groupings will result to a factor common to the entire expression. Then, factor the $GCF$ in each group. Finally, factor the $GCF$ of the entire expression.
$\bf{\text{Solution Details:}}$
Grouping the first and second terms and the third and fourth terms, the given expression is equivalent to
\begin{array}{l}\require{cancel}
(m^3+4m^2)-(6m+24)
.\end{array}
Factoring the $GCF$ in each group results to
\begin{array}{l}\require{cancel}
m^2(m+4)-6(m+4)
.\end{array}
Factoring the $GCF=
(m+4)
$ of the entire expression above results to
\begin{array}{l}\require{cancel}
(m+4)(m^2-6)
.\end{array}