Answer
$(4x-5)(x+3)$
Work Step by Step
For the polynomial
$$
4x^2 +7x -15
$$
we check the factors of $ac=4(-15)=-60$. The only factors that can give the right middle term are $-5$ and $12$, as follows
$$
4x^2 +7x -15 =(4x-5)(x+3)
.$$
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