Answer
$$2(7x+3)(2x+5).$$
Work Step by Step
For the polynomial
$$
28x^2+82x+30=2(14x^2+41x+15)
$$
we check the factors of $ac=14(15)=210$. The only factors that can give the right middle term are $6$ and $35$, as follows
$$28x^2+82x+30=2(14x^2+41x+15)=2(7x+3)(2x+5).$$
