Use Synthetic Division to Find the Quotient and Remainder $$\left( x ^ { 3 } - 5 \right) \div ( x - 1 )$$

question 70

Multiple Choice

Use synthetic division to find the quotient and remainder.
- $$\left( x ^ { 3 } - 5 \right) \div ( x - 1 )$$

• A) \(x ^ { 2 } + x + 1 + \frac { 5 } { x - 1 }\)
• B) \(x ^ { 2 } - x - 1\)
• C) \(x ^ { 3 } - x ^ { 2 } - x - 1\)
• D) \(x ^ { 2 } + x + 1 + \frac { - 4 } { x - 1 }\)

---

Definitions:

Nash Equilibrium

A concept in game theory where no player can gain by changing their strategy while the other players keep theirs unchanged, indicating optimal decision-making among competitors.

Preempted Entry

A strategy employed by existing firms in a market to deter new competitors from entering the market, often through barriers to entry or aggressive competitive practices.

Nash Equilibrium

A concept in game theory where no player can benefit by changing strategies if other players keep theirs unchanged; it represents a state of mutual strategy optimization.

Extensive Form

A representation of games (in game theory) that illustrates the sequence of moves, available strategies, and potential outcomes in a tree diagram.