Solve the Inequality $$9 x ^ { 3 } + 36 x ^ { 2 } - 16 x - 64 > 0$$

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$9 x ^ { 3 } + 36 x ^ { 2 } - 16 x - 64 > 0$$

A) $\left( - 4 , - \frac { 4 } { 3 } \right) \cup \left( \frac { 4 } { 3 } , \infty \right)$
B) $\left[ - 4 , - \frac { 4 } { 3 } \right] \cup \left[ \frac { 4 } { 3 } , \infty \right)$
C) $( - \infty , - 4 ] \cup \left[ - \frac { 4 } { 3 } , \frac { 4 } { 3 } \right]$
D) $( - \infty , - 4 ) \cup \left( - \frac { 4 } { 3 } , \frac { 4 } { 3 } \right)$