1. CST Warm Up
1) 2) 3) 4)

2. 6-4: Dividing Polynomials

3. Divide Polynomials by Monomials
Distribute the division, and simplify
Example:

4. Practice

5. Long Division - divide a polynomial by a polynomial
Think back to long division from 3rd grade.
How many times does the divisor go into the dividend? Put that number on top.
Multiply back and put the result under the dividend.
Subtract and bring down the next number.
Same Process…

6. Long Division - Divide just the FIRST terms– put the result on top
divide a polynomial by a polynomial
Divide just the FIRST terms– put the result on top
Multiply the top and the divisor
Subtract the result (Distribute!)
Bring down the next term

7. x – 8 x2/x = x -8x/x = -8 -( ) + 3x x2 - 8x - 24 -( ) - 8x - 24
Example: x
– 8
x2/x = x
-8x/x = -8
-( )
+ 3x x2
- 8x
- 24
-( )
- 8x
- 24

8. Practice (leave remainders)
Divide by

9. Missing Terms Arrange terms in descending order
IF any degree is missing, put in O as a placeholder
(like a 0 in the tens place in the number 103)
Ex:
2x4 – 3x+ 5 = 2x4 + 0x3 + 0x2 -3x + 5

10. Remainders
IF there is a remainder, leave it in the fraction
Ex:

11. h2
+ 4h
+ 5
-( )
- 4h2 h3
- 11h
4h2
-( )
4h2
- 16h 5h
+ 28
-( ) 5h
- 20 48

12. Practice
Divide by

13. Polynomial Remainders
Once the degree of the remainder is less than the degree of the divisor, you are done!
Example:

14. x
+ 9
-( ) x3
– x
+ x
9x2
-( )
9x2
– 9 x
+ 4

15. Practice

16. HW: p – 25 Odd, 22