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