Solve the Polynomial Inequality $2 x ^ { 3 } + 9 x ^ { 2 } - 38 x - 21 > 0$

Multiple Choice

Solve the polynomial inequality.
- $2 x ^ { 3 } + 9 x ^ { 2 } - 38 x - 21 > 0$

A) $[ - 7 , - 1 / 2 ] \cup [ 3 , \infty )$
B) $( - 7 , - 1 / 2 ) \cup ( 3 , \infty )$
C) $( \infty , - 7 ] \cup [ - 1 / 2,3 ]$
D) $( \infty , - 7 ) \cup ( - 1 / 2,3 )$