Partial Fraction Decomposition: Repeating Factors (DTube)

in #dtube7 years ago (edited)


In this video I go over how to decompose rational functions that have repeating factors in the denominator. The method is similar to that shown in my earlier video on general techniques of partial fraction decomposition but we need to account for all the different possible partial fraction cases for when the factors repeat. Solving for the coefficients of partial fractions is more complicated for these cases so it is usually easier to select values of x before solving for these coefficients.

Download the notes in my video: http://1drv.ms/1PkzUR6

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/partial-fraction-decomposition-repeating-factors

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Polynomials - A Simple Explanation:

Factoring Quadratic Polynomials by Guessing:

Factoring: Difference of Squares:

Factoring: Difference and Addition of Cubes:
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I don't always decompose rational functions with repeating factors in the denominator but when I do I usually make sure to account for all the different cases for the partial fractions ;)

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/partial-fraction-decomposition-repeating-factors

Guten Tag,

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