Factor the trinomial.
-$25 y ^ { 3 } + 40 y ^ { 2 } + 16 y$
A) $y ( 5 y - 4 ) ^ { 2 }$
B) $y ( 25 y + 1 ) ( y + 16 )$
C) $y ( 5 y + 4 ) ( 5 y - 4 )$
D) $y ( 5 y + 4 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $y$, giving $y(25y^2 + 40y + 16)$. Then, notice that $25y^2 + 40y + 16$ is a perfect square trinomial, factoring into $(5y + 4)^2$. Thus, the factored form is $y(5y + 4)^2$.

Factor the Trinomial 25y3+40y2+16y25 y ^ { 3 } + 40 y ^ { 2 } + 16 y25y3+40y2+16y

Factor the Trinomial $25 y ^ { 3 } + 40 y ^ { 2 } + 16 y$