If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.
-$$45 x ^ { 3 } - 21 x ^ { 2 } - 6 x$$
A) $x ( 3 x - 2 ) ( 15 x + 3 )$
B) $3 \left( 3 x ^ { 2 } - 2 \right) ( 5 x + 1 )$
C) $3 x ( 3 x - 2 ) ( 5 x + 1 )$
D) $x ( 9 x - 6 ) ( 5 x + 1 )$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor (GCF), which is $3x$, resulting in $3x(15x^2 - 7x - 2)$. Further factoring the quadratic expression gives $3x(3x - 2)(5x + 1)$.

If Possible, Factor the Polynomial Completely 45x3−21x2−6x45 x ^ { 3 } - 21 x ^ { 2 } - 6 x45x3−21x2−6x

If Possible, Factor the Polynomial Completely $45 x ^ { 3 } - 21 x ^ { 2 } - 6 x$