SOLUTION: On which interval does the Intermediate Value Theorem guarantee that the polynomial x4 + 7x2 − 9x − 1 has a root?

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Question 763963: On which interval does the Intermediate Value Theorem guarantee that the polynomial x4 + 7x2 − 9x − 1
has a root?

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Take each of the given intervals and test the value of the function at each end of the interval. Chose the interval where the value of the function has a different sign on one end then on the other. If one of the endpoints of an interval just happens to be a zero, discard that choice unless it is a closed interval on the end that has the zero.

John

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