3.5 the expansion - part 2 - b3.notebook · 3.5 the expansion part 2 b3.notebook 6 november 10,...

3.5 The Expansion ­ part 2 ­ B3.notebook

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Starter

1) 2)

3) 4)

Describe the end behavior of each polynomial below.

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

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Starter

1) 2)

3) 4)

Add, subtract, or multiply the following.

3.5 The Expansion ­ part 2 ­ B3.notebook

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Questions on Lesson 3.4 Homework?

3.5 The Expansion ­ part 2 ­ B3.notebook

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3.5 The Expansion ­ part 2 ­ B3.notebook

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3.5 The Expansion ­ part 2 ­ B3.notebook

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Multiplicity (power of a root)

If a root has an even multiplicity, the graph will touch the x-axis at that root (bounce up or down).

If a root has an odd multiplicity, the graph will cross the x-axis at that root.

3.5 The Expansion ­ part 2 ­ B3.notebook

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3.5 The Expansion ­ part 2 ­ B3.notebook

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3.5 The Expansion ­ part 2 ­ B3.notebook

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Binomial TheoremGiven any binomial (x+y), the result of raising it to the nth power is:

nth power

If we multiplied it all out we would get this:

3.5 The Expansion ­ part 2 ­ B3.notebook

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3.5 The Expansion ­ part 2 ­ B3.notebook

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Homework

Lesson 3.5 Homework