Answer
$$(5x-3)(x+2)
.$$
Work Step by Step
For the polynomial
$$
5x^2+7x-6
$$
we check the factors of $ac=5(-6)=-30$. The only factors that can give the right middle term are $-3$ and $10$, as follows
$$5x^2+7x-6
=(5x-3)(x+2)
.$$
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