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
\
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
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