#### Answer

$(x+4y)(x+2y)$

#### Work Step by Step

The coefficient of the third term (8) has the factors 4 and 2 whose sum is equal to the coefficient of the middle term (6).
Thus, the factors of the trinomial are $x+4y$ and $x+2y$.
Therefore, the factored form of the given trinomial is:
$=(x+4y)(x+2y)$