Use the Factor Theorem to Determine Whether X - C $$f ( x ) = x ^ { 6 } - 12 x ^ { 4 } - 69 x ^ { 2 } + 80 ; c = 4$$

question 329

Multiple Choice

Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the
form f(x) = (x - c) (quotient) .
- $$f ( x ) = x ^ { 6 } - 12 x ^ { 4 } - 69 x ^ { 2 } + 80 ; c = 4$$

• A) Yes; \(f ( x ) = ( x - 4 ) \left( x ^ { 5 } - 5 x ^ { 4 } + 5 x ^ { 3 } + 16 x ^ { 2 } - 5 x - 20 \right)\)
• B) No
• C) Yes; \(f ( x ) = ( x - 4 ) \left( x ^ { 5 } + 4 x ^ { 4 } - 4 x ^ { 3 } + 20 x ^ { 2 } - 5 x - 20 \right)\)
• D) Yes; \(f ( x ) = ( x - 4 ) \left( x ^ { 5 } + 4 x ^ { 4 } + 4 x ^ { 3 } + 16 x ^ { 2 } - 5 x - 20 \right)\)

Recognize sleep needs and patterns in different species.

Discuss the causes and implications of narcolepsy.

Identify common sleep disorders and their prevalence among adults.

Understand the challenges and issues faced by various family structures, including transgender and lesbian parents.

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Definitions:

Production Function

An equation that describes the maximum output of a good or service that can be produced from a set number of inputs, outlining the relationship between input usage and output levels.

Labor

The use of physical or mental labor by people to produce goods and services.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded by consumers within a certain period.

Labor Supply Curve

A graphical representation showing the relationship between the wage rate and the quantity of labor workers are willing to offer at that wage rate.