DIVISION OF POLYNOMIALS.AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

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1. Concepts 1, 2, 3
5.3 Division of Polynomials

2. 5.3.1 Division by a Monomial
Example:
3
330

3. Divide the polynomials.

4. On your own…

5. What if you are dividing by a
polynomial?
The last method we did won’t work.
There are three ways to do this:
LONG DIVISION
SYNTHETIC DIVISION
FACTORING (we will cover next
week)

6. 5.3.2 Long Division
Number example
How do we divide 867 by four using long
division?
Similar when using polynomials?

7. Divide the polynomial using long
division.
CHECK:
(divisor)(quotient)+(remainder) = what was divided

8. Divide the polynomial using long
division.

9. Divide the polynomial using long
division.

10. Divide the polynomial using long
division.

11. Divide the polynomial using long
division.

12. Divide the polynomial using long
division.

13. 5.3.3 Synthetic Division
It is a shortcut way of doing long division.
Only works when divided by something in
the form x – c
Set-up:
Degree is always one less than the original

14. Divide the polynomial using synthetic
division.

15. Divide the polynomial using synthetic
division.

16. Divide the polynomial using synthetic
division.

17. Divide the polynomial using synthetic
division.

18. HOMEWORK FOR 5.3
Pg. 338 – 340
#10, 24, 32, 37, 44, 57