1. Common Monomial Factors
TSWBAT find the greatest common monomial factor of two or more monomial; factor polynomials using the greatest common monomial factor

2. Factoring Factoring is the reverse process of multiplying
If a polynomial can be written as the product of factors it is factorable
First see if there is a common factor to divide out

3. Greatest Common Monomial Factor
The product of all the integer and variable factors that are common to two or more monomials

4. Greatest Common Monomial Factor
To find the GCMF
Find the prime factorization of the coefficient
Use the birthday cake method
Choose the least power of each variable that appears in all the monomials
36x2 and 54x3
Find the GCF of 36 and 54
GCF is 18
Pick the lowest power of the common variable x2 3
36 54 3
12 18 2
4 6
2 3

5. Examples 9x2y3 + 54x3y 28x5 + 70x3 18x3y2z – 24x2y2 + 6xy2 X3 + 2x
-3t2 + 6t – 9
6r3s – 6r3

6. Classwork
WB pg 195
1-12
Homework
Worksheet

7. Examples 12x3z5 + 72x5y2z – 60x2y 15a2b2 – 10ab + 5 x2z + xz2 – xz
-11n3 – 22n2

8. Classwork
WB pg 196
13-23
Homework
Worksheet