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

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor (GCF), which is $x y^4$, resulting in $x y^4 (25x^2 + 30xy + 8y^2)$. Then, factor the trinomial inside the parentheses to get $x y^4 (5x + 4y)(5x + 2y)$.

Factor Completely Using the Trial and Error Method to Factor 25x3y4+30x2y5+8xy625 x ^ { 3 } y ^ { 4 } + 30 x ^ { 2 } y ^ { 5 } + 8 x y ^ { 6 }25x3y4+30x2y5+8xy6

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