Use Synthetic Division to Perform the Division $$\frac { 3 x ^ { 3 } - 7 x ^ { 2 } - 194 x + 37 } { x + 7 }$$

question 50

Multiple Choice

Use synthetic division to perform the division. $$\frac { 3 x ^ { 3 } - 7 x ^ { 2 } - 194 x + 37 } { x + 7 }$$

• A) none of these
• B) \(\quad 3 x ^ { 2 } - 28 x + 2\)
• C) \(\quad 3 x ^ { 2 } - 28 x + 23 + \frac { 37 } { x + 7 }\)
• D) \(\quad 3 x ^ { 2 } - 28 x + 2 + \frac { 23 } { x + 7 }\)
• E) \(x ^ { 2 } - 28 x + 3 - \frac { 23 } { x + 7 }\)

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Definitions:

Allocative Efficiency

An economic state where resources are allocated in a way that maximizes the overall utility to society, ensuring that the goods and services produced match consumer preferences.

Minimization

The process or strategy of reducing or keeping to a minimum the size, amount, or degree of something, especially costs or liabilities.

Product Mix

The total range of products or services offered by a company to its customers.

Increasing-Cost Industry

An industry in which the costs of production increase as the industry grows and decreases as it contracts.