Factor by grouping.
-$12 x^{4}-9 x^{2}-16 x^{2}+12$
A) $\left(3 x^{4}-4\right)(4 x-3)$
B) $\left(12 x^{2}+4\right)\left(x^{2}+3\right)$
C) $\left(3 x^{2}-4\right)\left(4 x^{2}-3\right)$
D) $\left(3 x^{2}+4\right)\left(4 x^{2}+3\right)$

Question

Quizplus · Accepted Answer

First, combine like terms: $12x^4 - 25x^2 + 12$. Then, factor by grouping: $3x^2(4x^2 - 8) - 3(4x^2 - 8)$, which simplifies to $(3x^2 - 4)(4x^2 - 3)$.

Factor by Grouping 12x4−9x2−16x2+1212 x^{4}-9 x^{2}-16 x^{2}+1212x4−9x2−16x2+12 A) (3x4−4)(4x−3)\left(3 x^{4}-4\right)(4 x-3)(3x4−4)(4x−3) B) (12x2+4)(x2+3)\left(12 x^{2}+4\right)\left(x^{2}+3\right)(12x2+4)(x2+3)

Factor by Grouping $12 x^{4}-9 x^{2}-16 x^{2}+12$ A) $\left(3 x^{4}-4\right)(4 x-3)$ B) $\left(12 x^{2}+4\right)\left(x^{2}+3\right)$