Perform the Division $\left( x ^ { 4 } - 81 \right) \div ( x - 3 )$

question 12

Multiple Choice

Perform the division. $\left( x ^ { 4 } - 81 \right) \div ( x - 3 )$

• A) \(x ^ { 3 } + 3 x ^ { 2 } + 9 x + 27\)
• B) \(x ^ { 3 } - 12 x + 27\)
• C) \(x ^ { 2 } - 12 x - 27\)
• D) \(x ^ { 3 } + 3 x ^ { 2 } + - 9 x + 27\)
• E) \(x ^ { 3 } - 3 - x ^ { 2 } + 9 x - 27\)

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Definitions:

Variable Costs

Costs that vary directly with the level of production or sales activity.

Operating Income

Income from a company's main business operations, excluding expenses and revenues from non-operational activities.

Variable Costs

Expenses that vary directly with the level of production or sales volume, such as materials and labor.

Fixed Costs

Costs that remain constant regardless of the amount of goods produced or sold, including expenses like rent, wages, and insurance premiums.