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