Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
- $4 y ^ { 3 } - 8 y ^ { 2 } - 60 y$
A)4y(y + 3)(y - 5)
B)4y(y - 3)(y + 5)
C) $( y - 3 ) \left( 4 y ^ { 2 } + 20 \right)$
D) $\left( 4 y ^ { 2 } + 12 y \right) ( y - 5 )$

Question

Factor the trinomial completely. If the polynomial cannot be factored, write "prime."
-  $4 y ^ { 3 } - 8 y ^ { 2 } - 60 y$
A)4y(y + 3)(y - 5)
B)4y(y - 3)(y + 5)
C) $( y - 3 ) \left( 4 y ^ { 2 } + 20 \right)$
D) $\left( 4 y ^ { 2 } + 12 y \right) ( y - 5 )$

Quizplus · Accepted Answer

The trinomial can be factored by first factoring out the greatest common factor, which is 4y, resulting in 4y(y^2 - 2y - 15). The quadratic y^2 - 2y - 15 can be factored further into (y + 3)(y - 5). Thus, the complete factorization is 4y(y + 3)(y - 5).

Factor the Trinomial Completely 4y3−8y2−60y4 y ^ { 3 } - 8 y ^ { 2 } - 60 y4y3−8y2−60y

Factor the Trinomial Completely $4 y ^ { 3 } - 8 y ^ { 2 } - 60 y$