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Brianna O.

asked • 04/14/20

Use the Intermediate Value Theorem to confirm that the given polynomial has at least one zero within the given interval.

Use the Intermediate Value Theorem to confirm that the given polynomial has at least one zero within the given interval.

f(x) = x5 − 3x ,between x = 1 and x = 2

Substitute x = 1 and x = 2 into the function and simplify. 

f(1)=

f(2)=


Interpret the results using the Intermediate Value Theorem.

Because f is a polynomial function and since f(1) is  negative/positive and f(2) is negative/positive , there is at least one real zero between x = 1and x = 2


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