Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
-$4 x ^ { 3 } - 44 x ^ { 2 } + 120 x$
A)4x(x + 5)(x + 6)
B)x(4x + 5)(x + 6)
C)x(x + 5)(4x + 24)
D)4x(x - 5)(x - 6)

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor (GCF), which is $4x$, giving $4x(x^2 - 11x + 30)$. Then, factor the quadratic $x^2 - 11x + 30$ into $(x - 5)(x - 6)$. So, the complete factorization is $4x(x - 5)(x - 6)$.

Factor the Polynomial Completely 4x3−44x2+120x4 x ^ { 3 } - 44 x ^ { 2 } + 120 x4x3−44x2+120x

Factor the Polynomial Completely $4 x ^ { 3 } - 44 x ^ { 2 } + 120 x$