Final Answer
$\left(x-4\right)\left(x+6\right)$
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Step-by-step Solution
Specify the solving method
1
Factor the trinomial $x^2+2x-24$ finding two numbers that multiply to form $-24$ and added form $2$
$\begin{matrix}\left(-4\right)\left(6\right)=-24\\ \left(-4\right)+\left(6\right)=2\end{matrix}$
2
Thus
$\left(x-4\right)\left(x+6\right)$
Final Answer
$\left(x-4\right)\left(x+6\right)$