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MTH 162 Lecture Notes - Lecture 11: Partial Fraction Decomposition, Partial Function, Asymptote

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29 Jun 2017

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University of Miami

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Provide a generalization to each of the key terms listed in this section. Rational functions: rational functions are functions that are in the common form of r (x) = p(x) q(x) , which shows where both p(x) and q(x) are polynomial functions while it"s only q(x) can"t be a zero polynomial. Steps to partial fractions: partial fractions deals with writing ration functions as the sum of the simpler fractions and these are the steps to partial fractions: These are the steps when the rational function is actually while it"s numerator"s degree is less than the denominator"s degree: Create a sum of fractions with the all of the numerators are all di erent variables with the denominators are actually each of those factors. Create fractions with factor"s increasing powers in there are any repeated factors. Multiply by q(x), which is the denominator. Set the numerator, which is p(x), to 0.

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