Find All Complex Zeros of the Polynomial Function $$f ( x ) = x ^ { 4 } - 21 x ^ { 2 } - 100$$

question 283

Multiple Choice

Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessary.
- $$f ( x ) = x ^ { 4 } - 21 x ^ { 2 } - 100$$

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

---

Definitions:

Specific Power

Authority granted to an individual or body to carry out specific actions in a designated context or situation.

Agency Agreement

A legal contract creating a fiduciary relationship which empowers an agent to act on behalf of a principal in transactions.

Apparent Agency

A legal concept where a principal is liable for the acts of their agent, based on the appearance of authority the agent has been given, even if no actual authority was given.

Implied Agency

A form of agency relationship created by actions of the parties involved rather than a written agreement, suggesting one party can act on behalf of another.