Use Descartes' Rule of Signs to Determine the Possible Number $f ( x ) = 2 x ^ { 3 } - 2 x ^ { 2 } + 3 x - 4$

question 427

Multiple Choice

Use Descartes' Rule of Signs to determine the possible number of positive and negative zeros of $f ( x ) = 2 x ^ { 3 } - 2 x ^ { 2 } + 3 x - 4$ .

• A)3 positive reals or 1 positive real; 3 negative reals or 1 negative real
• B)3 positive reals or 1 positive real; no negative reals
• C)1 positive real; 3 negative reals or 1 negative real
• D)3 positive reals or 1 positive real; 1 negative real
• E)no positive reals; no negative reals

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Definitions:

Equilibrium Price

The market price at which the quantity of goods supplied is equal to the quantity of goods demanded, achieving market equilibrium.

Excise Tax

A tax levied on specific goods, services, or transactions, often included directly in the price of the product like gasoline, alcohol, and tobacco.

Gasoline

A liquid fuel derived from petroleum, used primarily in internal combustion engines.

Deadweight Loss

A loss of economic efficiency that can occur when the equilibrium for a good or service is not achieved or is not achievable.