Answer
$(5y+1)(y+2)$
Work Step by Step
For the polynomial
$$
5y^2 +11y +2
$$
we check the factors of $ac=5(2)=10$. The only factors that can give the right middle term are $1$ and $10$, as follows
$$
5y^2 +11y +2=(5y+1)(y+2)
.$$
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