Final answer to the problem
$\left(x+2\right)\left(x+4\right)$
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Step-by-step Solution
Specify the solving method
1
Factor the trinomial $x^2+6x+8$ finding two numbers that multiply to form $8$ and added form $6$
$\begin{matrix}\left(2\right)\left(4\right)=8\\ \left(2\right)+\left(4\right)=6\end{matrix}$
2
Thus
$\left(x+2\right)\left(x+4\right)$
Final answer to the problem
$\left(x+2\right)\left(x+4\right)$