Subtract the Polynomials $\left( 10 x ^ { 8 } + 4 x ^ { 7 } - 11 x ^ { 2 } + 9 \right) - \left( 6 x ^ { 8 } - 6 x ^ { 5 } + 5 x ^ { 2 } - 3 \right)$

question 31

Multiple Choice

Subtract the polynomials. Assume all variable exponents represent whole numbers.
- $\left( 10 x ^ { 8 } + 4 x ^ { 7 } - 11 x ^ { 2 } + 9 \right) - \left( 6 x ^ { 8 } - 6 x ^ { 5 } + 5 x ^ { 2 } - 3 \right)$

• A) \(4 x ^ { 8 } + 4 x ^ { 7 } + 6 x ^ { 5 } - 16 x ^ { 2 } + 12\)
• B) \(- 4 x ^ { 8 } + 4 x ^ { 7 } - 6 x ^ { 5 } - 16 x ^ { 2 } + 12\)
• C) \(4 x ^ { 8 } + 4 x ^ { 7 } - 6 x ^ { 5 } - 16 x ^ { 2 } + 12\)
• D) \(- 4 x ^ { 8 } + 4 x ^ { 7 } + 6 x ^ { 5 } - 16 x ^ { 2 } + 12\)

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Definitions:

Fixed

Typically refers to costs or assets that remain constant and do not vary with the level of activity or production.

Linear Relationship

A direct relationship between two variables that can be represented graphically as a straight line, indicating consistent proportionality.

Relevant Range

The range of activity within which assumptions about variable and fixed cost behavior are valid.

Activity Level

The volume of production or the degree of activity in a business operation, which can affect variable costs.