1. Topic: Factoring MI: Finding GCF (Greatest Common Factor)
Do Now: Multiply
5a.6a²
2a(3a + 2b)

2. Factors: Terms multiplied together to form a product.
(5a)(6a²) = 30a³
Greatest Common Factor: Largest factors of two or more terms. Greatest number or variable that can go into all terms
8, GCF=
2a, 3a² GCF=
24a³b, 8ab² GCF=

3. Steps to finding GCF for two monomials
Find greatest number that can go into all coefficients.
For each variable find smallest exponent that can go into both terms (highest variable).
9st, 12tg GCF=
56m²n², 8m²n GCF=

4. Factoring Polynomials for GCF
1. 2a + 2b
Steps
Find GCF for each term of polynomial.
Divide each term by GCF.
Answer is shown as product of GCF and remainder terms.
Check by multiplication.

5. Examples
3x – 3y
bx + by
15c – 10d
2x³ - 3x² + 5x

6. Now you try!!!! 6x + 3 2x² + 8x e) 10x²y – 15xy² 24x² - 8x
d) 10x² + 35x
f) 12x² -9x + 15

7. 9

8. Negative Coefficients

9. Summary
Summary
How do we factor 
a polynomial with a 
GCF?