Answer
$(3x+10)(2x-9)$
Work Step by Step
For the polynomial
$$
6x^2-7x-90
$$
we check the factors of $ac=6(-90)=-520$. The only factors that can give the right middle term are $-27$ and $20$, as follows
$$
6x^2-7x-90=(3x+10)(2x-9)
.$$
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