Use the Boundedness Theorem to Determine Whether the Polynomial Function $f ( x ) = x ^ { 5 } - 5 x ^ { 3 } + 4 x$

question 491

Multiple Choice

Use the boundedness theorem to determine whether the polynomial function satisfies the given condition.
-The polynomial $f ( x ) = x ^ { 5 } - 5 x ^ { 3 } + 4 x$ has no real zero greater than 2 .

• A) Yes, the boundedness theorem shows that the polynomial has no real zero greater than 2.
• B) No, the boundedness theorem does not show that the polynomial has no real zero greater than 2.

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Definitions:

Current Ratio

An indicator of how well a company can fulfill its short-term financial obligations within a year, calculated by the division of current assets by current liabilities.

Year 2

A reference to the second year of a company's operations, project timeframe, or any specific period's second year.

Operating Cycle

The duration of time it takes for a company to purchase inventory, sell the products, and collect cash from the sales.

Year 2

Typically refers to the second year in a given context, such as the fiscal year, a multi-year plan, or period analysis.