Evaluate the Discriminant for the Equation $$( 3 x + 12 ) ( x + 8 )$$

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are
rational, irrational, or nonreal complex.
- $$( 3 x + 12 ) ( x + 8 )$$

A) $x ^ { 2 } + 36 x + 35$
B) $3 x ^ { 2 } + 36 x + 96$
C) $3 x ^ { 2 } + 35 x + 96$
D) $x ^ { 2 } + 96 x + 36$