The Binomial Theorem
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The Binomial Theorem
description
The Binomial Theorem. Questions:. Put (x+y) 2 in standard form Put (x+y) 3 in standard form Put (x+y) 4 in standard form. Pascal’s Triangle. is a triangle of numbers, each new number being the sum of the two above it. - PowerPoint PPT Presentation
Transcript of The Binomial Theorem
The Binomial Theorem
Questions: Put (x+y)2 in standard form
Put (x+y)3 in standard form
Put (x+y)4 in standard form
Pascal’s Triangle is a triangle of numbers, each new number
being the sum of the two above it. Each Row of Pascal’s triangle contains
coefficients for the expansion of (a+b)n
Let’s look at Pascal’s Triangle http://www.shodor.org/interactivate
/activities/pascal1/
Now
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Use Pascal’s Triangle to expand (a+b)6
Use Pascal’s triangle to get the coefficients.
Then with the exponents a will decrease as b will increase.
Use Pascal Triangle to expand: (x-2)3
Review of Combinations
Another way to expand in called the Binomial
Theorem
Let’s look at (a+b)4
(x-2)5
Homework
P294
2,6,16,20,22