Solve the Polynomial Inequality and Graph the Solution Set on a Number

Multiple Choice

Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval
notation.
- $$16 x ^ { 3 } + 48 x ^ { 2 } - 25 x - 75 > 0$$

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

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

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

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