lecture synthetic division
TRANSCRIPT
![Page 1: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/1.jpg)
Synthetic Division
![Page 2: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/2.jpg)
4 3
:
2 8 2 2 .
Divide
x x x by x
Example 1. The divisor is a monic (coeff. of highest power is 1)
linear polynomial
![Page 3: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/3.jpg)
![Page 4: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/4.jpg)
![Page 5: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/5.jpg)
![Page 6: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/6.jpg)
![Page 7: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/7.jpg)
![Page 8: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/8.jpg)
4 3
:
2 8 2 2 .
Divide
x x x by x
![Page 9: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/9.jpg)
![Page 10: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/10.jpg)
Example 2. The divisor is a linear (not monic) polynomial
4 3 2
:
8 12 6 1 2 1 .
Divide
x x x by x
![Page 11: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/11.jpg)
![Page 12: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/12.jpg)
![Page 13: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/13.jpg)
![Page 14: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/14.jpg)
![Page 15: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/15.jpg)
![Page 16: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/16.jpg)
![Page 17: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/17.jpg)
4 3 2
:
8 12 6 1 2 1 .
Divide
x x x by x
![Page 18: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/18.jpg)
Example 3. The divisor is a monic quadratic polynomial
4 3 2 2
:
3 2 9 8 2 .
Divide
x x x x by x x
![Page 19: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/19.jpg)
![Page 20: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/20.jpg)
![Page 21: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/21.jpg)
![Page 22: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/22.jpg)
![Page 23: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/23.jpg)
![Page 24: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/24.jpg)
![Page 25: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/25.jpg)
4 3 2 2
:
3 2 9 8 2 .
Divide
x x x x by x x
![Page 26: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/26.jpg)
![Page 27: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/27.jpg)
![Page 28: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/28.jpg)
![Page 29: Lecture synthetic division](https://reader034.vdocuments.us/reader034/viewer/2022050922/55ab00911a28ab8e288b46fb/html5/thumbnails/29.jpg)
• http://www.qc.edu.hk/math/Certificate%20Level/division.htm