1. The Binomial Theorem

2. Questions: • Put (x+y)2 in standard form • Put (x+y)3 in standard form • Put (x+y)4 in standard form

3. 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/

4. Now \

5. 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.

6. Use Pascal Triangle to expand: (x-2)3

7. Review of Combinations

8. Another way to expand in called the Binomial Theorem

9. Let’s look at (a+b)4

10. (x-2)5

11. Homework P294 2,6,16,20,22