A Polynomial Function $f$ Has Degree 3 , the Zeros Below, and a Solution

question 95

Multiple Choice

A polynomial function $f$ has degree 3 , the zeros below, and a solution point of $f ( 1 ) = - 96$ . Write $f$ in completely factored form.
$- 2 , - 3 + 4 i$

• A) \(f ( x ) = ( x + 3 ) ( x + 2 - 4 i ) ( x + 2 + 4 i )\)
• B) \(f ( x ) = - ( x + 2 ) ( x - 4 - 3 i ) ( x - 4 + 3 i )\)
• C) \(f ( x ) = ( x + 2 ) ( x - 4 - 3 i ) ( x - 4 + 3 i )\)
• D) \(f ( x ) = - ( x + 2 ) ( x + 3 - 4 i ) ( x + 3 + 4 i )\)
• E) \(f ( x ) = ( x + 2 ) ( x + 3 - 4 i ) ( x + 3 + 4 i )\)

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Definitions:

Nash Equilibria

A concept in game theory where no player can gain by unilaterally changing their strategy, indicating a balance where each player's strategy is optimal given the other players' strategies.

Maximin Strategy

A strategy in decision-making which aims to maximize the minimum gain that can be earned, focusing on the worst-case scenario.

Collusion

A secretive or illegal agreement between parties to limit competition by deceiving, misleading, or defrauding others of their legal rights, or to obtain an objective forbidden by law.

Winner's Curse

A situation in an auction where the winning bid exceeds the intrinsic value or true worth of an item.