Factor the four-term polynomial by grouping.
-$12 x ^ { 6 } - 9 x ^ { 3 } + 8 x ^ { 3 } - 6$
A) $\left( 3 x ^ { 3 } + 2 \right) \left( 4 x ^ { 3 } - 3 \right)$
B) $\left( 3 x ^ { 6 } + 2 \right) ( 4 x - 3 )$
C) $\left( 3 x ^ { 3 } - 2 \right) \left( 4 x ^ { 3 } + 3 \right)$
D) $\left( 12 x ^ { 3 } - 2 \right) \left( x ^ { 3 } + 3 \right)$

Question

Quizplus · Accepted Answer

First, group the terms: $12x^6 - 9x^3 + 8x^3 - 6$. Combine like terms to get $12x^6 - x^3 - 6$. Factor by grouping: $3x^3(4x^3 - 3) + 2(4x^3 - 3)$, which simplifies to $(3x^3 + 2)(4x^3 - 3)$.

Factor the Four-Term Polynomial by Grouping 12x6−9x3+8x3−612 x ^ { 6 } - 9 x ^ { 3 } + 8 x ^ { 3 } - 612x6−9x3+8x3−6

Factor the Four-Term Polynomial by Grouping $12 x ^ { 6 } - 9 x ^ { 3 } + 8 x ^ { 3 } - 6$