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Sunday, November 17, 2013

SP #5: Unity J Concept 6: Partial Fraction Decomposition with Repeated Factors



This problem deals with how to solve partial fractions that have multiple repeated factors. This problem is somewhat similar to the previous concept in that Most of the steps are the same. However, there are some twists in solving it, due to the repetition of factors.
It is important to know how to count up the factors, which means when making a fraction for each factor on the denominator, we have the first of the repeated factors be itself, the second repetition will be squared, the third will be cubed, and so on, up the powers. Again, it's imperative to properly factor out each factor set and then distribute the given numerator of each fraction to the result. Combine like terms into sets of equations and cross out the x^2's and the x's. Use the matrix setting in the graphing calculator to help solve this type of problem.

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