Factor the trinomial, if possible. $12 x ^ { 4 } - 26 x ^ { 3 } + 12 x ^ { 2 }$
A) $2 x ^ { 2 } ( 3 x + 2 ) ( 2 x + 3 )$
B) $2 x ^ { 2 } ( 3 x - 2 ) ( 2 x - 3 )$
C) $2 x ^ { 2 } ( 3 x + 2 ) ( 2 x - 3 )$
D) $2 x ^ { 2 } ( 3 x - 2 ) ( 2 x + 3 )$
E)The trinomial is prime.

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $2x^2$, giving $2x^2(6x^2 - 13x + 6)$. Factoring the quadratic inside the parentheses results in $2x^2(3x - 2)(2x - 3)$, matching option B.

Factor the Trinomial, If Possible 12x4−26x3+12x212 x ^ { 4 } - 26 x ^ { 3 } + 12 x ^ { 2 }12x4−26x3+12x2

Factor the Trinomial, If Possible $12 x ^ { 4 } - 26 x ^ { 3 } + 12 x ^ { 2 }$