Find All Complex Zeros of the Polynomial Function $$f ( x ) = x ^ { 4 } - 36$$

question 438

Multiple Choice

Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessary.
- $$f ( x ) = x ^ { 4 } - 36$$

• A) \(\sqrt { 6 } , - \sqrt { 6 }\)
• B) \(\sqrt { 6 } , - \sqrt { 6 } i , \sqrt { 6 } i , - \sqrt { 6 }\)
• C) \(\sqrt { 6 } , \sqrt { 6 } i\)
• D) \(\sqrt { 6 } , - 6 i , 6 i , - \sqrt { 6 }\)

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Definitions:

Financial Leverage

The use of borrowed funds to increase the potential return of an investment, amplifying both potential gains and losses.

Net Income

The total earnings of a company after subtracting all expenses from revenue, including taxes and interest.

Debt Financing

A method of raising capital through the sale of bonds, bills, or notes to individual and/or institutional investors, in return for lending the company money.

Operating Leverage

A measure of how revenue growth translates into growth in operating income, indicating the proportion of fixed versus variable costs a company has.