1. Factoring Polynomials

2. Factors The numbers that are multiplied to produce a specific product.
2 and 3 are factors of 6, since 2 ● 3 = 6
The factors of 12 are 1,2,3,4,6, and 12.
The number 12 can be expressed as the product of two factors as 1 ● 12 or 2 ● 6 or 3 ● 4.

3. Polynomial Factors
Some algebraic expressions can also be expressed as a product of factors.
4x (2)(2x+5)
2y (2)(y+3)
3x can’t factor
x2 + 2x (x)(x+2)

4. Greatest Common Factor
To find the greatest common factor of 12 and 18, express each number as the product of its prime factors.
12 = 2 ● 2 ● 3
18 = 2 ● 3 ● 3
I can check: 6 divides evenly into 12 and 6 divides evenly into 18!

5. Do these Questions!
Express each number as the product of two factors in as many ways as you can. 8 20 36 28

6. Do these Questions too!
Write each fraction in simplest form. (REDUCE!)

7. Find the GCF of each pair
and 16
10 and 25
6 and 14
20 and 24

8. Factor using the Greatest common factor
6y + 12
2x2 + 8x