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# Pc 9.5 notes

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### Pc 9.5 notes

1. 1. April 11, 20129.5 The BinomialTheoremEssential Question:How do you expand (x+y)n? 1
2. 2. April 11, 2012Our 9.5 Objectives (QuizTopics)Objectives:• evaluate combinations (group notation) to determinebinomial coefficients• Create Pascals Triangle to find binomial coefficients• Expand binomials with Pascals Triangle or theBinomial Theorem• Determine specific terms of a binomial expansion 2
3. 3. April 11, 2012What is "binomial expansion"? 3
4. 4. April 11, 2012Patterns in binomial expansion.1.2.3.4. 4
5. 5. April 11, 2012The Binomial Theorem 5
6. 6. April 11, 2012Evaluating CombinationsEx. 1) Evaluate.a) b)c) d)e) 6
7. 7. April 11, 2012Creating Pascals Triangle 7
8. 8. April 11, 2012Expanding Binomials1)2)3) 8
9. 9. April 11, 2012Ex. 2) Expand. 9
10. 10. April 11, 2012Ex. 3) Expand. 10
11. 11. April 11, 2012Ex. 4) Expand. 11
12. 12. April 11, 2012Ex. 5) What is the fifth term of (a - 2b)8? 12
13. 13. April 11, 2012Ex. 6) Find the coefficient of the termcontaining a4b7 in the expansion of (2a - 3b)11. 13
14. 14. April 11, 2012Assignment:9.5 p. 688 #1-13 (odd), 17, 23-29(odd), 33, 39, 41, 47, 49, 67 14
15. 15. April 11, 2012 15