Factor the Polynomial Completely $5 z ^ { 5 } b ^ { 8 } + 11 z ^ { 11 } b ^ { 3 }$

question 138

Multiple Choice

Factor the polynomial completely. $5 z ^ { 5 } b ^ { 8 } + 11 z ^ { 11 } b ^ { 3 }$

• A) \(55 z ^ { 5 } b ^ { 3 } \left( 5 b ^ { 5 } + 11 z ^ { 6 } \right)\)
• B) \(z ^ { 5 } b ^ { 3 } \left( 5 b ^ { 5 } - 11 z ^ { 11 } \right)\)
• C) \(z ^ { 5 } b ^ { 3 } \left( 5 b ^ { 5 } + 11 z ^ { 6 } \right)\)
• D) \(z ^ { 5 } b ^ { 3 } \left( 5 b ^ { 5 } - 11 z ^ { 6 } \right)\)
• E) \(z ^ { 5 } b ^ { 3 } ( 5 b + 11 z )\)

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Definitions:

Perfectly Price-Discriminating

A theoretical market condition where a seller charges each buyer their maximum willingness to pay, capturing all possible consumer surplus.

Socially Optimal Level

The point of balance where the social benefits of an economic activity equal its social costs, maximizing overall welfare.

Perfectly Price Discriminate

A pricing strategy where a seller charges the maximum price that each individual consumer is willing to pay, thus capturing all possible consumer surplus.

Deadweight Losses

Economic inefficiencies that occur when the allocation of resources is not optimal, resulting from distortions in the market such as taxes, subsidies, or monopolies.