Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
-$6 x ^ { 3 } - 60 x ^ { 2 } + 126 x$
A) $6 x ( x + 7 ) ( x + 3 )$
B) $x ( 6 x + 7 ) ( x + 3 )$
C) $6 x ( x - 7 ) ( x - 3 )$
D) $x ( x + 7 ) ( 6 x + 18 )$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $6x$, giving $6x(x^2 - 10x + 21)$. Factoring the quadratic yields $6x(x - 7)(x - 3)$.

Factor the Polynomial Completely 6x3−60x2+126x6 x ^ { 3 } - 60 x ^ { 2 } + 126 x6x3−60x2+126x

Factor the Polynomial Completely $6 x ^ { 3 } - 60 x ^ { 2 } + 126 x$