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

question 155

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) \(- 70 a ^ { 2 } x ^ { 9 } + 35 a x ^ { 6 } + 7 a x ^ { 3 }\)

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Definitions:

Marginal Cost

The increase or decrease in the total cost that arises when the quantity produced is incremented by one unit.

Marginal Value

Marginal value represents the additional satisfaction or utility a consumer receives from consuming one more unit of a good or service, influencing their decision on how much of a product to purchase.

Marginal Analysis

An examination of the benefits and costs of certain activities or financial decisions.

Marginal Analysis

A technique used in economics to examine the benefits of adding one more unit of a good or service.