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

Multiple Choice

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) $\left( 12 x ^ { 3 } - 2 \right) \left( x ^ { 3 } + 3 \right)$