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Sunday, November 17, 2013

SP #5: Unit J Concept 6: Partial Fraction Decomposition with repeated factors






Steps and Explanations!!
1. Like in Concept 5, decompose the problem and find your like terms and system.
2. The hardest part of this problems is canceling and knowing what to cancel. There's many different ways to cancel the variables but for now, try to follow my work with the whole canceling process. 
3. Once you found "A", plug it in to one of the systems and you'll also find "B". Repeat the same process with different systems plugged in to find variables "C" and "D". 
4. Once you found what your variables equal to, double check your answer with matrix and rref in your graphing calculator.

   The viewer needs to pay attention to the canceling process and understanding how and what is multiplied in order to cancel out a certain variable. As the viewer figures out that "A" is, try to keep the same denominator throughout the process (which the denominator should be 27.) Also, when using rref to check the answer, the graphing calculator will not give a fraction in the matrix but instead a decimal. The answer will still be correct if it corresponds to the fractions of A, B, C, and D.


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