Final Answer
$\left(x+2\right)\left(x+3\right)$
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Step-by-step Solution
Specify the solving method
1
Factor the trinomial $x^2+5x+6$ finding two numbers that multiply to form $6$ and added form $5$
$\begin{matrix}\left(2\right)\left(3\right)=6\\ \left(2\right)+\left(3\right)=5\end{matrix}$
2
Thus
$\left(x+2\right)\left(x+3\right)$
Final Answer
$\left(x+2\right)\left(x+3\right)$