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

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.