Factor.
-$4 x ( 3 x - 2 ) - 3 ( 3 x - 2 )$
A) $( 12 x - 3 ) ( x - 2 )$
B) $( 4 x - 3 ) ( 3 x - 2 )$
C) $( 4 x + 3 ) ( 3 x + 2 )$
D) $( 12 x + 3 ) ( x + 2 )$

Question

Quizplus · Accepted Answer

First, we can use distributive property to simplify the expression:

\begin{align*}
4x(3x-2)-3(3x-2) &= 12x^2 - 8x - 9x +6 \
&= 12x^2 - 17x + 6
\end{align*}

Then we can factor this quadratic expression as:

\begin{align*}
12x^2 - 17x + 6 &= (4x-3)(3x-2)
\end{align*}

Therefore, the best choice is B, since it is the only option that correctly factors the expression.

Factor - 4x(3x−2)−3(3x−2)4 x ( 3 x - 2 ) - 3 ( 3 x - 2 )4x(3x−2)−3(3x−2)

Factor
- $4 x ( 3 x - 2 ) - 3 ( 3 x - 2 )$