Given That the Polynomial Function Has the Given Zero, Find $$f ( x ) = x ^ { 4 } - 21 x ^ { 2 } - 100 ; - 2 i$$

question 58

Multiple Choice

Given that the polynomial function has the given zero, find the other zeros.
- $$f ( x ) = x ^ { 4 } - 21 x ^ { 2 } - 100 ; - 2 i$$

• A) \(2 \mathrm { i } , 5 \mathrm { i } , - 5 \mathrm { i }\)
• B) \(2 \mathrm { i } , 10 , - 10\)
• C) \(2 \mathrm { i } , 5 , - 5\)
• D) \(2 \mathrm { i } , 10 \mathrm { i } , - 10 \mathrm { i }\)

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Definitions:

Diminishing Returns

A principle stating that as additional amounts of a variable input are added to a fixed input, beyond some point the marginal product of the variable input begins to decrease.

Unit of Labor

A measure of labor input, often represented by one worker or one hour of work, used to calculate productivity or costs.

Marginal Cost

The price of fabricating another unit of a good or service.

Total Cost

The sum of all costs incurred in the production of goods or services, including fixed and variable costs.