Dividing Polynomials

To divide a polynomial by a monomial, divide each term

by the monomial.

xxx 4)82012( 2

xx

x

x

x

4

8

4

20

4

12 2

x

xx

4

82012 2

xx

253

By a binomial:

See if it will factor

3

322

x

xx

3

)1)(3(

x

xx

1x

Factor

Cross Reduce

Long Division

)1()1443( 2 xxx

14431 2 xxx

14431 2 xxxxx 33 2 14x1x

15

3x + 1

- -

- -

Answer:

)1

15(13

x

x

Remainder is written over the divisor.

Divide:

)32()6318( 23 xxx

Keep a space for each x value!!

6031832 23 xxxx9x

2

18x3 - 27x2 24x2 +

0x

+12x

24x2 - 36x- 36x + 6

+18

36x - 54- 60

602x-3

+

+

You are 14 and your brother is 4. In “t” years your ages will be t+14 and t+4. Using long division, rewrite the ratio of

your brothers age to your age.

14

4

t

t

y

B

414 tt14

101

t

14t

10Will this ratio get

smaller or larger as years go by?