Evaluate the Discriminant for the Equation $- 8 a x ^ { 7 } \left( - 12 a x ^ { 5 } - 5 x ^ { 2 } + 6 a \right)$

question 53

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.
- $- 8 a x ^ { 7 } \left( - 12 a x ^ { 5 } - 5 x ^ { 2 } + 6 a \right)$

• A) \(96 a ^ { 2 } x ^ { 35 } + 40 a x ^ { 14 } - 48 a ^ { 2 } x ^ { 7 }\)
• B) \(96 a x ^ { 12 } + 40 a x ^ { 9 } - 48 a x ^ { 7 }\)
• C) \(96 a ^ { 2 } x ^ { 12 } - 40 a x ^ { 9 } + 48 a ^ { 2 } x ^ { 7 }\)
• D) \(96 a ^ { 2 } x ^ { 12 } + 40 a x ^ { 9 } - 48 a ^ { 2 } x ^ { 7 }\)

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