Dividing Polynomials:

Long Division

Essential Question

How do I use long division to divide polynomials?

Simple Division -dividing a polynomial by a monomial

2 2 2 26 3 93

r s rs r s1.

rs

6r 2s2

3rs

3rs2

3rs

9r 2s3rs

2rs s 3r

Simplify

3a2b3ab

6a3b2

3ab

18ab3ab

a 2a2b 6

2 3 23 6 183

a b a b ab2.

ab

Simplify

12x2y

3x

3x3x

4xy 1

212 33

x y x3.

x

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 that number by the divisor and put the result under the dividend.

•Subtract and bring down the next number in the dividend. Repeat until you have used all the numbers in the dividend.

-( )x 3 x 2 5x 24

x

x2 + 3x- 8x

- 8

- 24- 8x - 24

0-( )

x2/x = x

2 5 243

x x4.

x

-8x/x = -8

-( )

-( )

-( )h 4 h3 0h2 11h 28

h2

h3 - 4h2

4h2

+ 4h

- 11h4h2- 16h

5h

h3/h = h2

+ 284h2/h = 4h

+ 5

5h - 2048

48h 4

5h/h = 5

5. (h3 – 11h + 28)/(h – 4)

Assignment

Complete the attached worksheet (3 problems).