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

question 42

Multiple Choice

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - 2 x ^ { 2 } - 2 x + 4 \right) \div ( x - 2 )$

• A) \(Q : x ^ { 2 } - 2\)
• \(\mathrm { R } : - 1\)
• B) \(\mathrm { Q } : x ^ { 2 } - 2\)
• R: 0
• C) \(Q : x ^ { 2 } - 2\)
• \(\mathrm { R } : 1\)
• D) \(\mathrm { Q } : x ^ { 2 } + 2\)
• R: 0
• E) \(\mathrm { Q } : x ^ { 2 } + 2\)
• \(\mathrm { R } : 1\)

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Definitions:

Over Supplied

A market condition where the quantity of a good or service available exceeds the quantity demanded at the current price, often leading to a surplus and typically pressure on prices to decrease.

Marginal Cost

The rise in expenses for producing one more unit of a product or service.

Efficient Amount

The level of production or consumption that maximizes welfare and minimizes waste within an economy, often used in reference to optimal resource allocation.

Carbon Dioxide

A colorless, odorless gas produced by burning carbon and organic compounds and by respiration. It is naturally present in air and is a major component of the carbon cycle.