Factor the Polynomial $$x ^ { 3 } + 8 x ^ { 2 } + x + 8$$

question 249

Multiple Choice

Factor the polynomial.
- $$x ^ { 3 } + 8 x ^ { 2 } + x + 8$$

• A) \(\left( 8 x ^ { 2 } + 8 \right) ( x + 1 )\)
• B) \(\left( x ^ { 2 } + 1 \right) ( 8 x + 8 )\)
• C) \(\left( x ^ { 2 } + 8 \right) ( x + 1 )\)
• D) \(\left( x ^ { 2 } + 1 \right) ( x + 8 )\)

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Definitions:

Optimal Response

Optimal response is a strategy that maximizes a player's benefits given the strategies chosen by others, commonly used in game theory.

Nash Equilibrium

A concept in game theory where no player can gain by unilaterally changing their strategy if the strategies of others remain unchanged.

Pure Strategy

In game theory, a strategy where a player consistently chooses a specific action.

Mixed Strategy Equilibrium

in game theory, is a situation where players in a game choose a mixture of strategies probabilistically.