8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
Bellwork 4-6-15
Expand each binomial.
1. (a + b)2
2. (x – 3y)2
Evaluate each expression.
3. 4C3
4. (0.25)0
5.
6. 23.2% of 37
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
Objectives
Use the Binomial Theorem to expand a binomial raised to a
power.
Find binomial probabilities and test hypotheses.
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
Vocabulary
Binomial Theorem
binomial experiment
binomial probability
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
You used Pascal‛s triangle to find binomial expansions in previous
lessons. The coefficients of the expansion of (x + y)n are the
numbers in Pascal‛s triangle, which are actually combinations.
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
The pattern in the table can help you expand any binomial by using
the Binomial Theorem.
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
Example 1A: Expanding Binomials
Use the Binomial Theorem to expand the binomial.
(a + b)5
The sum of the exponents for each term is 5.
(a + b)5 = 5C0a5b0 + 5C1a4b1 + 5C2a3b2 + 5C3a2b3 + 5C4a1b4 + 5C5a0b5
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
Example 1B: Expanding Binomials
Use the Binomial Theorem to expand the binomial.
(2x + y)3
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
Check It Out! Example 1a
Use the Binomial Theorem to expand the binomial.
(x – y)5
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
Check It Out! Example 1b
Use the Binomial Theorem to expand the binomial.
(a + 2b)3
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8­6 Binomial Distributions­ period 1.notebook
April 06, 2015
Homework: Worksheet 8-6 Practice A # 1-4
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