Use the Boundedness Theorem to Determine Whether the Polynomial Function $f ( x ) = x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 4 x - 10$

question 428

Multiple Choice

Use the boundedness theorem to determine whether the polynomial function satisfies the given condition.
-The polynomial $f ( x ) = x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 4 x - 10$ has no real zero less than $- 1$ .

• A) Yes, the boundedness theorem shows that the polynomial has no real zero less than \(- 1\).
• B) No, the boundedness theorem does not show that the polynomial has no real zero less than \(- 1\).

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