Evaluate the Discriminant for the Equation $- 7 a x ^ { 3 } \left( - 10 a x ^ { 3 } + 5 x ^ { 2 } + 1 \right)$

Multiple Choice

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.
- $- 7 a x ^ { 3 } \left( - 10 a x ^ { 3 } + 5 x ^ { 2 } + 1 \right)$

A) $70 a x ^ { 9 } - 35 a x ^ { 6 } - 7 a x ^ { 3 }$
B) $- 70 a ^ { 2 } x ^ { 6 } + 35 a x ^ { 5 } + 7 a x ^ { 3 }$
C) $70 a ^ { 2 } x ^ { 6 } - 35 a x ^ { 5 } - 7 a x ^ { 3 }$
D) $- 70 a ^ { 2 } x ^ { 9 } + 35 a x ^ { 6 } + 7 a x ^ { 3 }$