Use the Boundedness Theorem to determine if the zeros of f(x)are bounded over the given interval. If this cannot be
determined, indicate so.
-$f ( x ) = x ^ { 5 } + 2 x ^ { 4 } - 4 x ^ { 3 } + x ^ { 2 } + 17 x - 5 \text { in } [ - 1,2 ]$
A)Yes
B)Cannot determine

Question

Quizplus · Accepted Answer

The Boundedness Theorem requires that the polynomial be evaluated at the endpoints of the interval to determine if the zeros are bounded. However, without further calculations or information about the behavior of the polynomial within the interval, it cannot be determined solely from the given information.

Use the Boundedness Theorem to Determine If the Zeros of F(x)are