Find the Zeros of the Polynomial Function and State the Multiplicity

question 390

Multiple Choice

Find the zeros of the polynomial function and state the multiplicity of each.
- $$f ( x ) = \left( x ^ { 2 } + x - 12 \right) ^ { 7 } ( x - 4 + \sqrt { 7 } ) ^ { 2 }$$

• A) \(- 4 , - 3\) (multiplicity 7), \(- 4 - \sqrt { 7 }\) (multiplicity 2)
• B) \(4 , - 3\) (multiplicity 7 ), \(4 - \sqrt { 7 }\) (multiplicity 2)
• C) \(- 4,3\) (multiplicity 7 ), \(4 + \sqrt { 7 }\) (multiplicity 2)
• D) \(- 4,3\) (multiplicity 7), \(4 - \sqrt { 7 }\) (multiplicity 2)

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Definitions:

Economic Profit

The earnings excess over the summation of a firm's clear and hidden financial outlays, showcasing its comprehensive income versus expenses.

Perfect Price Discrimination

Perfect price discrimination occurs when a seller charges each buyer their maximum willingness to pay, capturing the entire consumer surplus as profit.

Marginal Revenue

The enhanced income from disposing of one more unit of a product or service.

Perfect Price Discrimination

The practice of charging each customer the maximum they would be willing to pay for a good or service, capturing all consumer surplus.