Answer
$$(2x+3)(3x+2).$$
Work Step by Step
For the polynomial
$$
6x^2+13x+6
$$
we check the factors of $ac=6(6)=36$. The only factors that can give the right middle term are $4$ and $9$, as follows
$$6x^2+13x+6 =(2x+3)(3x+2).$$
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