Use Synthetic Division to Determine the Quotient and Remainder for the Division

question 57

Multiple Choice

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 5 } + 1 \right) \div ( x + 1 )$

• A) \[Q : x ^ { 4 } + x ^ { 3 } - x ^ { 2 } + x - 1\]
• \(\mathrm { R } : 0\)
• B) \[Q : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1\]
• \(\mathrm { R } : 0\)
• C) \[Q : x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x + 1\]
• \(\mathrm { R } : 1\)
• D) \(\begin{array} { l }
• \mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1 \\
• \mathrm { R } : - 1
• \end{array}\)
• E) \[\mathrm { Q } : x ^ { 4 } + x ^ { 3 } + x ^ { 2 } + x + 1\]
• \(\mathrm { R } : 0\)

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Definitions:

Nash Equilibrium

An idea in game theory that suggests no participant can gain an advantage by altering their approach if all other participants maintain their strategies.

Payoff Matrix

A tabular representation of the payoffs or outcomes in a strategic game for each set of strategies chosen by the players.

Nash Equilibrium

A concept in game theory where each player's strategy is optimal, given the other players' strategies, resulting in no incentive for any player to deviate from their chosen strategy.

International Strategy

An approach businesses use to expand their operations and market presence across national borders.