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Module 7 Overview:

 

person holding test tubes

 

Medical researchers and physicians often evaluate the effectiveness of new drugs by the length of time the drug remains at, or above, a specific level of concentration in the bloodstream after administration of the dosage. For example, the concentration (C) of a drug in the bloodstream t hours after an injection may have an equation resembling:

 

c of t equals 2 t squared plus 1 point 5 t over t cubed plus forty

 

How could you determine the number of hours, t, for which the concentration would remain above twenty percent?

To answer this question, and many other such real-world problems, you need to be able to work with a family of algebraic expressions called rational expressions. In this module, you will extend your knowledge of polynomials and explore the results when we create these new algebraic expressions, which are fractions of polynomials. We will begin with a review of operations with fractions.


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