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3.5 The Expansion part 2 B3.notebook 1 November 10, 2014 Oct 318:27 AM Starter 1) 2) 3) 4) Describe the end behavior of each polynomial below.

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Page 1: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

1

November 10, 2014

Oct 31­8:27 AM

Starter

1) 2)

3) 4)

Describe the end behavior of each polynomial below.

Page 2: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

2

November 10, 2014

Oct 31­8:27 AM

Starter

1) 2)

3) 4)

Add, subtract, or multiply the following.

Page 3: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

Oct 31­8:31 AM

Questions on Lesson 3.4 Homework?

Page 4: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

Nov 6­9:09 AM

Page 5: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

Nov 6­9:12 AM

Page 6: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

Nov 10­10:18 AM

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.

Page 7: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

Nov 6­9:13 AM

Page 8: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

Nov 6­9:13 AM

Page 9: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

Jan 26­1:25 PM

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:

Page 10: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

Nov 10­11:21 AM

Page 11: 3.5 The Expansion - part 2 - B3.notebookhansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/... · 3.5 The Expansion part 2 B3.notebook 3 November 10, 2014 Oct 318:31 AM Questions on

3.5 The Expansion ­ part 2 ­ B3.notebook

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November 10, 2014

Oct 31­8:32 AM

Homework

Lesson 3.5 Homework