Solve the Inequality $16 \mathrm { x } ^ { 3 } + 48 \mathrm { x } ^ { 2 } - 25 \mathrm { x } - 75 > 0$

Solve the inequality. Graph the solution set and write the solution set in interval notation.
- $16 \mathrm { x } ^ { 3 } + 48 \mathrm { x } ^ { 2 } - 25 \mathrm { x } - 75 > 0$

A) $( - \infty , - 3 ] \cup \left[ - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right]$

B) $( - \infty , - 3 ) \cup \left( - \frac { 5 } { 4 } , \frac { 5 } { 4 } \right)$

C) $\left( - 3 , - \frac { 5 } { 4 } \right) \cup \left( \frac { 5 } { 4 } , \infty \right)$

D) $\left[ - 3 , - \frac { 5 } { 4 } \right] \cup \left[ \frac { 5 } { 4 } , \infty \right)$