Simplify the Rational Expression $\frac { w ^ { 3 } - 5 w ^ { 2 } - 2 w + 10 } { w ^ { 2 } - 10 w + 25 }$

question 50

Multiple Choice

Simplify the rational expression.
- $\frac { w ^ { 3 } - 5 w ^ { 2 } - 2 w + 10 } { w ^ { 2 } - 10 w + 25 }$

• A) \(\frac { w + 5 } { w ^ { 2 } + 2 }\)
• B) \(\frac { w ^ { 2 } - 2 } { w - 5 }\)
• C) \(\frac { w ^ { 2 } + 2 } { w + 5 }\)
• D) \(\frac { w ^ { 2 } - 5 } { w - 2 }\)

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Definitions:

Total Cost Function

A mathematical expression that calculates the total cost of producing a given level of output, incorporating both fixed and variable costs.

Marginal Cost

The surplus cost attributed to generating one more unit of a product or service.

Production Function

A mathematical representation showing the relationship between input factors and the output of goods or services.

Competitive Markets

Markets characterized by many buyers and sellers, where no single participant has significant influence on price or product offerings.