Use Descartes's Rule of Signs to Determine the Possible Number $$f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } + x + 6$$

question 381

Multiple Choice

Use Descartes's Rule of Signs to determine the possible number of positive and negative real zeros for the given
function.
- $$f ( x ) = 2 x ^ { 3 } - 3 x ^ { 2 } + x + 6$$

• A) 2 or 0 positive zeros, 1 negative zero
• B) 3 or 1 positive zeros, 3 or 1 negative zeros
• C) 2 or 0 positive zeros, 1 or 0 negative zeros
• D) 2 or 0 positive zeros, 2 or 0 negative zeros

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Definitions:

Beta

A measure of the volatility, or systemic risk, of a security or a portfolio compared to the market as a whole.

Systematic-Risk Event

An event that affects all securities in the financial market and cannot be mitigated through diversification.

Federal Reserve

The central banking system of the United States, responsible for setting monetary policy, issuing currency, and regulating banks.

Interest Rates

The amount charged by lenders to borrowers for the use of assets, expressed as a percentage of the principal, and typically noted on an annual basis.