Find a Polynomial of Degree 3 with Real Coefficients That $- 6 , i , - i$

question 170

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of $- 6 , i , - i$ and $P ( - 3 ) = 60$

• A) \(P ( x ) = - 2 x ^ { 3 } - 12 x ^ { 2 } - 2 x - 12\)
• B) \(P ( x ) = - 2 x ^ { 3 } - 12 x ^ { 2 } + 2 x + 12\)
• C) \(P ( x ) = 2 x ^ { 3 } + 12 x ^ { 2 } + 2 x + 12\)
• D) \(P ( x ) = 2 x ^ { 3 } + 12 x ^ { 2 } - 2 x - 12\)

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Definitions:

Significant Barriers

Major obstacles or impediments that prevent entities from entering a market or industry.

Horizontal Demand Curve

A demand curve representing a situation where a small change in price leads to an infinite change in quantity demanded, typically associated with perfectly competitive markets.

Four-Firm Concentration Ratio

A measure that indicates the total market share controlled by the four largest firms within an industry.

Herfindahl Index

A measure of market concentration calculated by summing the squares of the market shares of all firms in the industry.