Use Synthetic Division to Perform the Division $\frac { 3 x ^ { 4 } - 7 x ^ { 3 } - 16 x + 5 } { x - 3 }$

question 286

Multiple Choice

Use synthetic division to perform the division. $\frac { 3 x ^ { 4 } - 7 x ^ { 3 } - 16 x + 5 } { x - 3 }$

• A) \(x ^ { 3 } + x ^ { 2 } + 3 x + 2 - \frac { 11 } { x - 3 }\)
• B) \(3 x ^ { 3 } + 2 x ^ { 2 } + 6 x + 2 + \frac { 11 } { x - 3 }\)
• C) \(3 x ^ { 3 } - 2 x ^ { 2 } + 6 x - 2 + \frac { 11 } { x - 3 }\)
• D) \(3 x ^ { 3 } + 2 x ^ { 2 } + 6 x + 2 + 11\)
• E)none of these

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Definitions:

Quantity of Output

The total amount of goods or services produced by a company or an economy in a given period.

Monopolistically Competitive Firm

A firm in a monopolistic competition operates in a market structure where many companies sell products that are similar but not identical, allowing for some degree of market power.

Cartel Production Quota

The allocated amount of production assigned to each member of a cartel, aiming to control supply and influence market prices.

Monopolistically Competitive Firm

A company that operates in a market with many competitors, each offering products that are similar but not perfect substitutes, allowing for some degree of market power in setting prices.