Use Synthetic Division to Perform the Division $$\frac { x ^ { 3 } - 1 } { x - 1 }$$

question 271

Multiple Choice

Use synthetic division to perform the division.
- $$\frac { x ^ { 3 } - 1 } { x - 1 }$$

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

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Definitions:

Elasticity Coefficient

A measure that indicates how much the quantity demanded of a good or service changes in response to a change in price.

Average Revenue

The revenue a company receives for selling one unit of a product, or the total revenue divided by the quantity of products sold.

Product Differentiation

A marketing strategy that involves distinguishing a product or service from others in the market to attract a specific target audience.

Pure Competition

A market structure characterized by many buyers and sellers, free entry and exit, and a homogeneous product, leading to price determination by supply and demand.