Subtract the Polynomials $$\left( 4 x ^ { 5 } + 5 x ^ { 4 } - 6 x ^ { 3 } - 9 \right) - \left( 6 x ^ { 5 } + 9 x ^ { 4 } + 9 x ^ { 3 } - 6 \right)$$

question 29

Multiple Choice

Subtract the polynomials. Assume all variable exponents represent whole numbers.
- $$\left( 4 x ^ { 5 } + 5 x ^ { 4 } - 6 x ^ { 3 } - 9 \right) - \left( 6 x ^ { 5 } + 9 x ^ { 4 } + 9 x ^ { 3 } - 6 \right)$$

• A) \(10 x ^ { 5 } + 14 x ^ { 4 } + 3 x ^ { 3 } - 15\)
• B) \(- 2 x ^ { 5 } - 4 x ^ { 4 } - 15 x ^ { 3 } - 3\)
• C) \(10 x ^ { 5 } + 14 x ^ { 4 } + 3 x ^ { 3 } - 3\)
• D) \(- 2 x ^ { 5 } + 14 x ^ { 4 } + 3 x ^ { 3 } - 15\)

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Definitions:

Not Rival

A characteristic of a good where its consumption by one individual does not reduce availability or quality for others.

Excludable

A characteristic of a good or service that allows its owner to prevent others from using it, typically through the mechanism of property rights.

Rival in Consumption

A characteristic of a good whereby consumption by one individual prevents simultaneous consumption by another individual.

Rival in Consumption

A characteristic of goods whereby the consumption by one individual reduces the availability of the good for consumption by another individual.