Transcription of Pascal’s triangle and the binomial theorem
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Pascal’s triangle and the binomial theorem
Pascal s triangle andthe binomial expressionis the sum, or difference, of two terms. For example,x+ 1,3x+ 2y,a bare all binomial expressions. If we want to raise a binomial expression to a power higher than 2(for example if we want to find(x+1)7) it is very cumbersome to do this by repeatedly multiplyingx+ 1by itself. In this unit you will learn how a triangular pattern of numbers, known asPascal striangle, can be used to obtain the required result very order to master the techniques explained here it is vital that you undertake plenty of practiceexercises so that they become second reading this text, and/or viewing the video tutorial on this topic, you should be able to: generate Pascal s triangle expand a binomial expression using Pascal s triangle use the binomial theorem to expand a binomial s Pascal s triangle to expand a binomial binomial mathcentre 20091.
Pascal’s triangle and the binomial theorem mc-TY-pascal-2009-1.1 A binomial expression is the sum, or difference, of two terms. For example, x+1, 3x+2y, a− b are all binomial expressions. If we want to raise a binomial expression to a power higher than 2
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