Answer
$(2y-5)(y+7)$
Work Step by Step
For the polynomial
$$
2y^2 +9y -35
$$
we check the factors of $ac=2(-35)=-70$. The only factors that can give the right middle term are $-5$ and $14$, as follows
$$
2y^2 +9y -35=(2y-5)(y+7)
.$$
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