Factor the expression completely. $- 21 x + 9 + 12 x ^ { 2 }$
A) $( 7 x - 3 ) ( x - 1 )$
B) $3 ( 4 x - 3 ) ( x - 1 )$
C) $3 ( 7 x - 3 ) ( x - 1 )$
D) $( 4 x - 3 ) ( 3 x - 1 )$
E) prime

Question

Quizplus · Accepted Answer

First, reorder the expression as $12x^2 - 21x + 9$. Factoring out the greatest common factor (GCF) of 3 gives $3(4x^2 - 7x + 3)$. Factoring the quadratic inside the parentheses gives $3(4x - 3)(x - 1)$, which matches option B.

Factor the Expression Completely −21x+9+12x2- 21 x + 9 + 12 x ^ { 2 }−21x+9+12x2

Factor the Expression Completely $- 21 x + 9 + 12 x ^ { 2 }$