SOLUTION: How do you show that a polynomial function has a real zero between two given numbers? Give an example to support your answer.
Algebra.Com
Question 870861: How do you show that a polynomial function has a real zero between two given numbers? Give an example to support your answer.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Polynomial functions are continuous everywhere, so if
is a polynomial function, and there are two real numbers a and b such that
,
(or vice versa), then by the intermediate value theorem, there exists
such that
.
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