The document provides examples of factoring common factors from expressions: 1) Examples are given of factoring the greatest common factor (GCF) from expressions like 5x^2 - 10x, 3x^2 - 9x + 6, and 6p^3 + 15p^2 - 9p. 2) It notes that when signs are the same in an expression like x^2 + 6x + 8, the terms can be added together to get 6. 3) Further examples show factoring the GCF from expressions when both terms have the same sign, like x^2 - 10x + 16 and y^2 - 11y + 30, or different signs, like

1. Factoring Notes

2. Common Factors
 GCF :
 5x2 – 10x
 3x2 – 9x + 6
 6p3 + 15p2 – 9p
 3a2 + 6a – 9

3. Signs are Both signs
positive are the same
x2 + 6x + 8
Add together
to get 6

4. x2 + 10x + 24

5. ON OWN:
x2 + 14x + 33

6. Both are Both
same
negative
x2 – 10x + 16 sign

7. y2 – 11y + 30

8. on own
a2 – 16a + 63

9. x2 + 1x - 12

10. y2 + 1y - 56

11. On own:
y2 + 4y - 60

12. x2 – 7x - 18

13. a2 – 2a - 63

14. on own:
x2 – x - 56