Wednesday, March 5, 2014

9.5 The Binomial Theorem

The Binomial Theorem is a quick way of expanding a binomial expression that has been reised to some power. In order to solve that problem, we need to use Pascal's Triangle. It is a convenient way to remember  a pattern for binomial coefficients. 






Example: What is (x+5)4

Start with exponents:x450x351x252x153x054
Include Coefficients:1x4504x3516x2524x1531x054
                    (x+5)4 = x4 + 20x3 + 150x2 + 500x + 625

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