Factor Completely Using the Trial and Error Method to Factor $$25 x ^ { 3 } y ^ { 4 } + 30 x ^ { 2 } y ^ { 5 } + 8 x y ^ { 6 }$$

Multiple Choice

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is
prime.
- $$25 x ^ { 3 } y ^ { 4 } + 30 x ^ { 2 } y ^ { 5 } + 8 x y ^ { 6 }$$

A) $y ^ { 4 } ( 5 x + 4 y ) \left( 5 x ^ { 2 } + 2 x y \right)$
B) $x \left( 5 x y ^ { 4 } + 4 y ^ { 5 } \right) ( 5 x + 2 y )$
C) $x y ^ { 4 } ( 5 x + 4 y ) ( 5 x + 2 y )$
D) prime