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# Applications of Polynomial Functions: Finding Zeroes and Maximizing

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F(x)=-x^4+12x^3-58x^2+132x

The concentration of a drug, f(x), in parts per million, in a patients's blood x hours after the drug is administered is given by the function.
I need to make a graph of the following:

a) how many hours after the drug is administered will it be eliminated from the patients's bloodstream
b) how long will it take after the drug is administered for it to reach peak concentration in the patient's bloodstream

##### Solution Summary

The roots are found and the maximum value is calculated for a real-life application of a function.

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