1. Warm Up
1. 10C P4
12C P3
10C P3
8C P5

2. L6-8 Objective: Students will build and use Pascal’s triangle AND use the binomial theorem.

4. Because the first line is (a+b)0 when using Pascal’s triangle we begin counting with 0

5. Review Simplify (x + 1)² Simplify ( x + 1)³ Simplify ( x + 1)4

6. Simplify
(x + 1)6
(x + 1)7
(x + 1)8
(x + 1)9

7. Use Pascal’s Triangle to expand (x – 3)4.
Use Pascal’s Triangle to expand (a + b)5.

8. Practice Expand 1. ( x + 5)6 2. (y – 2)5 3. (m + 2)7 4. (2x – 1)4

10. To find a specific term: nCr( )n-r( )r
Ex 4: find the 4th term of (x – 7)8
Because Pascal’s triangle begins with 0 the r is 3 not 4. ( ) n is 8 because that is the exponent.

11. Ex 5: Find the 3rd term of (y + 5)6
Ex 6: find the 7th term of (x – 4)8

12. Practice 1. 9th term (x – 6)8 2. 6th term (y + 4) 8
3. 4th term (m + 2)6
Homework L6.8 (p 361) 2-20e 24-42e 48-56e