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 $x^2+3x+2$ finding two numbers that multiply to form $2$ and added form $3$
$\begin{matrix}\left(1\right)\left(2\right)=2\\ \left(1\right)+\left(2\right)=3\end{matrix}$
2
Thus
$\left(x+1\right)\left(x+2\right)$
Final Answer
$\left(x+1\right)\left(x+2\right)$