1. Factoring Polynomials
factor out a common factor

2. Factoring (Divide): Find a # and/or variable that is divisible by all #’s in the expression. To divide the variable subtract the exponents

3. Divisible by… 2 if last digit is an even number.
3 if the sum of the digits is divisible by 3
4 if the number formed by the last two digits is divisible by 4
5 if the number ends in 0 or 5
7 Nike Rule: “just do it” (long division)
9 if the sum of the digits  by 9
10 if the last digit is a zero.

4. “Factoring Polynomials” the REVERSE of the Distributive Property
5(x + 3) = 5x
+ 15
“Factoring Polynomials” the REVERSE of the Distributive Property

5. Ex 1:Factor: 10x + 15 2x
+ 3
Check your answer!!!!!

6. Ex 2 Factor: 12x + 4 3x
+ 1
Check your answer!!!!!

7. Ex 3 Factor: 18x3 + 12x
3x2
+ 2
Check your answer!!!!!

8. Ex 4 Factor: x2 + 7x
x(x + 7)

9. Ex 5 Factor: a2b + 2ab
ab(a + 2)

10. Ex 6 Factor: 5x5y4 + 20xy3 5 x y3
( )
x4y
+ 4
5xy3(x4y + 4)

11. Ex 7 Factor 16y5 + 20y3
4y3(4y2 + 5)

12. Ex 8 Factor:
x3(9 + 25x4)

13. Ex 9 Factor:
3m3n(4m2n + 3m + 2n)

14. Ex 10 Factor:
16x(x5 - 2x4 - 3)

15. Ex 11 Factor:
x2(6x2 - 10x + 3)

16. Ex 12 Factor:
2a2(2a2b4 – ab2 + 6)