Use the boundedness theorem to determine whether the statement is true or false.
-The polynomial $f ( x ) = x ^ { 4 } - 9 x ^ { 3 } - 22 x ^ { 2 }$ has no real zero greater than 8 .

Question

Quizplus · Accepted Answer

The boundedness theorem does not directly determine the existence of real zeros for a polynomial. To find if there's a real zero greater than 8, one would typically use methods like the Intermediate Value Theorem or directly solve the equation. The statement's truth can't be confirmed solely with the boundedness theorem.

Use the Boundedness Theorem to Determine Whether the Statement Is f(x)=x4−9x3−22x2f ( x ) = x ^ { 4 } - 9 x ^ { 3 } - 22 x ^ { 2 }f(x)=x4−9x3−22x2

Use the Boundedness Theorem to Determine Whether the Statement Is $f ( x ) = x ^ { 4 } - 9 x ^ { 3 } - 22 x ^ { 2 }$