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:

Nominal Rate

The advertised or stated interest rate on a loan or investment, not accounting for any fees or compounding of interest.

Effective Rate

The real interest rate on an investment or loan, taking into account the effect of compounding over a given period.

Compounding Interval

The frequency at which interest is added to the principal amount of an investment or loan which can affect the total interest earned or paid.

Compounded Monthly

In finance, it refers to the process of computing interest on an investment or loan on a monthly basis, with each month's interest being added to the principal for the calculation of subsequent interest.