Solve the Inequality $$2 x ^ { 3 } + 9 x ^ { 2 } < 32 x + 144$$

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$2 x ^ { 3 } + 9 x ^ { 2 } < 32 x + 144$$

A) $\left( - \frac { 9 } { 2 } , - 4 \right) \cup ( 4 , \infty )$
B) $( - \infty , - 4 ) \cup ( 4 , \infty )$
C) $( - 4,4 )$
D) $\left( - \infty , - \frac { 9 } { 2 } \right) \cup ( - 4,4 )$