Use the Boundedness Theorem to Determine Whether the Polynomial Function $f ( x ) = x ^ { 5 } + 10 x ^ { 4 } - 25 x ^ { 3 } - 10 x ^ { 2 } + 24 x$

question 490

Multiple Choice

Use the boundedness theorem to determine whether the polynomial function satisfies the given condition.
-The polynomial $f ( x ) = x ^ { 5 } + 10 x ^ { 4 } - 25 x ^ { 3 } - 10 x ^ { 2 } + 24 x$ has no real zero greater than 3 .

• A) Yes, the boundedness theorem shows that the polynomial has no real zero greater than 3 .
• B) No, the boundedness theorem does not show that the polynomial has no real zero greater than 3 .

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