Use the Intermediate Value Theorem to Determine Whether the Polynomial $$f ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 11 x + 52 ; \text { zero: } - 4$$

question 16

Multiple Choice

Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.
- $$f ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 11 x + 52 ; \text { zero: } - 4$$

• A) \(6 + 4 i , 6 - 4 i\)
• B) \(1 + 2 \mathrm { i } , 1 - 2 \mathrm { i }\)
• C) \(3 + 2 \mathrm { i } , 3 - 2 \mathrm { i }\)
• D) \(1 + 2 \sqrt { 13 } i , 1 - 2 \sqrt { 13 } i\)

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Definitions:

Liquidation Payment

The payout received by investors or creditors during the liquidation of a company, prioritizing payments according to seniority of claims.

Preferred Stock

represents ownership in a corporation with a claim on assets and earnings before common stockholders, often paying fixed dividends.

Par Value

The nominal value of a bond or stock as declared by the issuer, which might not match its value on the market.

Annual Dividend

The annual dividend is the total amount of dividend payments a company distributes to its shareholders over a year.