1. Factoring and Dividing Polynomials
World 2-4
Factoring and Dividing Polynomials

2. HELP ME! Math students. You’re my only hope.
A Factor
is a whole number that divides evenly into another number.
1,2,3, & 6
The factors of 6 are…
1,2,3,4,6,12, & 24
The factors of 24 are…
HELP ME! Math students. You’re my only hope.

3. You’ll never get all these factors. Wahahaha
Why are there 60 seconds in a minute, why not 100?
1,2,3,4,5,6,10,12,15,20,30 & 60
Factors of 60:
1,2,4,5,10,20,25,50 & 100
Factors of 100:
60 has 12 factors.
100 has 9 factors.
You’ll never get all these factors. Wahahaha
The Babylonians realized
60 is more convenient for their
number system! (More factors)

4. Terms GCF Bronze Silver Gold Platinum 8 16 40 8 6x2 24x3 12x4 6x2
The Greatest Common Factor (GCF) is the largest factor that divides evenly into each term.
can be factored as well.
Polynomials
eg. 1 Complete the Table
Terms
GCF
Bronze
Silver
Gold
Platinum 8
6x x3 12x4
6x2
28x2y2 14x3y x2y3
7x2y2
15a6b7 3a3b5 21a6b4
3a3b4

5. eg. 2 Factor by pulling out the GCF
4x+6
2(2x+3)
9x-15
3(3x-5)
6x2+10x
2x(3x+5)
49x3y2 - 21x2y2 + 14x3y3
7x2y2(7x-3+2xy)
2a2b2-6ab3+4ab2
2ab2(a-3b + 2)

6. eg. 3 Division of a Polynomial- Divide each monomial individually
18a2 + 12ab 3a
9x3 + 6x2 + 12x 3x 6a
+ 4b
3x2
+ 2x
+ 4
18x2 + 8x + 6 3
20xy5 - 15xy2 + 30x2y4
5xy
6x2
+ 8x 3
+ 2
4y4
- 3y
+ 6xy3

7. Homework
Sorry but our princess is in another castle 