Find All of the Real Zeros of the Function $$f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 7 x - 14$$

question 136

Multiple Choice

Find all of the real zeros of the function. Give exact values whenever possible. Identify each zero as rational or irrational.
- $$f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 7 x - 14$$

• A) \(- 2\) (rational), \(2 \sqrt { 7 }\) (irrational), and \(- 2 \sqrt { 7 }\) (irrational)
• B) \(- 2\) (rational), 7 (rational), and \(- 7\) (rational)
• C) \(- 2\) (rational), \(\sqrt { 7 }\) (irrational), and \(- \sqrt { 7 }\) (irrational)
• D) 2 (rational), \(\sqrt { 7 }\) (irrational), and \(- \sqrt { 7 }\) (irrational)

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Definitions:

Degree Of Total Leverage

A ratio that measures the sensitivity of a company's earnings per share to fluctuations in its operating income due to changes in its capital structure.

Financial Leverage

The use of borrowed funds to increase an investment's potential return, which also increases the risk of loss.

Operating Leverage

A measure of how sensitive a company's operating income is to changes in its revenue, indicating the proportion of fixed versus variable costs.

Financial Risk

The possibility of losing money on an investment or business venture due to various financial factors.