Find the Zeros of the Polynomial Function Below $P ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 15 x + 7$

question 46

Multiple Choice

Find the zeros of the polynomial function below. If a zero is a multiple zero, state its multiplicity. $P ( x ) = x ^ { 3 } - 5 x ^ { 2 } - 15 x + 7$

• A) \(7,\) \(- 1 - \sqrt { 2 },\) \(- 1 + \sqrt { 2 }\)
• B) \(7,\) \(1 - \sqrt { 2 },\) \(1 + \sqrt { 2 }\)
• C) \(- 1,\) \(7 - \sqrt { 2 },\) \(7 + \sqrt { 2 }\)
• D) \(1,\) \(7 - \sqrt { 2 },\) \(7 + \sqrt { 2 }\)
• E) \(- 1,\) \(- 7 - \sqrt { 2 },\) \(- 7 + \sqrt { 2 }\)

Understand the basic concepts of market structures, including perfect competition and monopoly.

Analyze the impact of monopolies on market outcomes, including prices and quantities.

Calculate consumer surplus, producer surplus, and deadweight loss in both competitive and monopoly markets.

Understand the effects of government intervention in monopolies through regulations such as price ceilings.

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