3.5 the expansion - part 2 - b3.notebook · 3.5 the expansion part 2 b3.notebook 6 november 10,...
TRANSCRIPT
![Page 1: 3.5 The Expansion - part 2 - B3.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/1.jpg)
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.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/2.jpg)
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.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/3.jpg)
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.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/4.jpg)
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.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/5.jpg)
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.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/6.jpg)
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.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/7.jpg)
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.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/8.jpg)
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.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/9.jpg)
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.notebook · 3.5 The Expansion part 2 B3.notebook 6 November 10, 2014 Nov 1010:18 AM Multiplicity (power of a root) If a root has an even multiplicity,](https://reader036.vdocuments.mx/reader036/viewer/2022071217/604a851d2cd0951855378717/html5/thumbnails/10.jpg)
3.5 The Expansion part 2 B3.notebook
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November 10, 2014
Nov 1011:21 AM
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3.5 The Expansion part 2 B3.notebook
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Oct 318:32 AM
Homework
Lesson 3.5 Homework