Answer
$(3x+2y^{2})(x+y^{2})$
Work Step by Step
$3x^{2}+5xy^{2}+2y^{4}=$
Treat as a trinomial of the form $ax^{2}+bx+c,$
$=(3)x^{2}+(5y^{2})x+2y^{4}$
we search for factors of $ac=6y^{4}$ whose sum is $b=5y^{2}$
and we find $+3y^{2}$ and $+2y^{2}$
rewrite bx and factor in pairs
$=3x^{2}+3y^{2}x+2y^{2}x+2y^{4}$
$=3x(x+y^{2})+2y^{2}(x+y^{2})$
=$(3x+2y^{2})(x+y^{2})$
