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April 11, 2012
9.5 The Binomial TheoremEssential Question:How do you expand (x+y)n?
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April 11, 2012
Objectives:• evaluate combinations (group notation) to determine binomial coefficients• Create Pascal's Triangle to find binomial coefficients• Expand binomials with Pascal's Triangle or the Binomial Theorem• Determine specific terms of a binomial expansion
Our 9.5 Objectives (Quiz Topics)
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What is "binomial expansion"?
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Patterns in binomial expansion.
1.
2.
3.
4.
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The Binomial Theorem
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Evaluating CombinationsEx. 1) Evaluate.
a) b)
c) d)
e)
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Creating Pascal's Triangle
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Expanding Binomials
1)
2)
3)
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Ex. 2) Expand.
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Ex. 3) Expand.
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Ex. 4) Expand.
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Ex. 5) What is the fifth term of (a - 2b)8?
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Ex. 6) Find the coefficient of the term containing a4b7 in the expansion of (2a - 3b)11.
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Assignment:
9.5 p. 688 #1-13 (odd), 17, 23-29 (odd), 33, 39, 41, 47, 49, 67
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