A26­3NotesPart2.notebook
February 29, 2016
Algebra 2
Ch.6 Notes Page 31
P31 6­3 Dividing Polynomials (Part 2)
HMH 6.5 Part 2 (Synthetic Division)
Aug 19­6:20 AM
Divide 3x2 + 10x + 20 by (x­2)
Feb 26­12:40 PM
1
A26­3NotesPart2.notebook
February 29, 2016
Synthethic Division
Allows you to drop all variables and exponents
Divide 3x3 ­ 4x2 + 2x ­ 1 by x + 1
Reverse the sign of the Constant and write the coefficents in Standard Form.
Bring down the first coefficient.
Multiply and Add in the rest of the problem.
­1
3
­4
2
­1
Oct 26­9:52 AM
Feb 26­1:03 PM
2
A26­3NotesPart2.notebook
February 29, 2016
Feb 26­12:59 PM
Synthethic Division
Divide x3 ­ 13x + 12 by x + 4
Oct 26­10:00 AM
3
A26­3NotesPart2.notebook
February 29, 2016
Evaluating a Polynomial with
Synthethic Division (The Remainder Theorem)
Find P(­4) for P(x) = x4 ­ 5x2 + 4x +12
Use Synthetic Division
The Remainder will be the solution
The Constant does not Switch Symbols
­4
1
0
­5
4
12
Oct 26­10:03 AM
The Remainder Theorem
Feb 26­12:40 PM
4
A26­3NotesPart2.notebook
February 29, 2016
Feb 26­12:40 PM
Feb 29­8:56 AM
5
A26­3NotesPart2.notebook
February 29, 2016
Feb 26­12:59 PM
HW #32
HMH Computer Assignment or Worksheet
Please put your name and class period at the top of
the homework. Also include the homework number.
Aug 19­6:25 AM
6