Pascals Triangle and the Binomial Expansion

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Presentation transcript:

Pascals Triangle and the Binomial Expansion

Pascal’s Triangle Pascal was not the first to discover the triangle however he was the first to bring it to Europe and prove it. The Chinese knew about the triangle since the 13 century

Pascal’s Triangle: Write it on one side of your triangle

Binomial Expansion Using the distributive property many times Example: (x +2)³ =(x +2) (x +2) (x+2) =(x+2) (x² +4x +4) =x³ +6x² +12x +8 Any easier way is to have the binomial expansion follow Pascal’s triangle

Write the binomial expansion on the other side of the triangle

Homework Page 285 (1-5) all Workbook Page 25 (2-16) even