Factor Completely $$p ^ { 6 } + q ^ { 24 } r ^ { 18 }$$

question 72

Multiple Choice

Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
- $$p ^ { 6 } + q ^ { 24 } r ^ { 18 }$$

• A) \(\left( p + q ^ { 4 } r ^ { 3 } \right) \left( p - q ^ { 4 } r ^ { 3 } \right) \left( p ^ { 4 } - p ^ { 2 } q ^ { 8 } r ^ { 6 } + q ^ { 16 } r ^ { 12 } \right)\)
• B) \(\left( \mathrm { p } ^ { 3 } + \mathrm { q } ^ { 12 } \mathrm { r } ^ { 9 } \right) \left( \mathrm { p } ^ { 3 } - \mathrm { q } ^ { 12 } \mathrm { r } ^ { 9 } \right)\)
• C) \(\left( p + q ^ { 4 } r ^ { 3 } \right) \left( p - q ^ { 4 } r ^ { 3 } \right) \left( p ^ { 2 } + p q ^ { 4 } r ^ { 3 } + q ^ { 8 } r ^ { 6 } \right) \left( p ^ { 2 } - q ^ { 4 } r ^ { 3 } + q ^ { 8 } r ^ { 6 } \right)\)
• D) \(\left( p ^ { 2 } + q ^ { 8 } r ^ { 6 } \right) \left( p ^ { 4 } - p ^ { 2 } q ^ { 8 } r ^ { 6 } + q ^ { 16 } r ^ { 12 } \right)\)

Calculate and interpret the cross elasticity of demand.

Calculate and interpret the income elasticity of demand.

Understand how changes in price affect total revenue for products with different demand elasticities.

Analyze the impact of price changes on consumer expenditure.

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Definitions:

Salivation

The secretion of saliva in the mouth, which is often triggered by the presence or anticipation of food.

Behaviorism

A school of psychology that focuses on observable behaviors and the ways in which they're learned, rather than on feelings or thoughts.

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The science of behavior and mental processes.

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