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

In this Student Problem, the same rules from Concept 6 apply, except that in this problem, we find repeated factors, which basically means that there are two or more factors, such as in this example (x+1)^3. There are still tricky sections in this problem though because there are parts that we have to include even though I did not go over it on the last blog post. For starters, it is important to remember that we need to count up to the exponent that the factor x+1 says, which is 3. Then we, have to make sure we factor out before distributing. In this problem, I got the resulting system and combined the first two problems and then I solved the last two through the elimination process. After that, I then combined those resulting individual equations and solved them by the elimination process. It is helpful to use the original equations, so make sure you do not leave them out!