1. Drill
Distribute and simplify:
1) (2x – 1)(3x + 5)
2) (x + 1)2 =

2. Objective
• SWBAT factor polynomials by
finding the greatest common
factor.

3. GCF
• The greatest common factor
of a set of numbers is the
largest number that divides
evenly into all the numbers
in that set.

4. GCF
• We need to be able to do
this for 2 or 3 numbers.
• If the numbers are relatively
prime the GCF is one.

5. Examples
Find the GCF for the
numbers listed below:
12, 20

6. Examples
Find the GCF for the
numbers listed below:
8, 64

7. Examples
Find the GCF for the
numbers listed below:
14, 56

8. Examples
Find the GCF for the
numbers listed below:
40, 21

9. Examples
Find the GCF for the
numbers listed below:
10, 12, 20

10. Examples
Find the GCF for the
numbers listed below:
24, 16, 30

11. Warm UP
1. Use a factor Tree to find the prime
factorization of 120.
2. Find the GCF:
40, 25
3. Find the GCF:
36, 24, 60

12. Objective
• SWBAT factor polynomials using the GCF.

13. With Variables Involved
• When you have variables in
your terms you will do the
number things just like we
did. For the variables
simply take the least
amount of each one.

14. Examples
Find the GCF for the terms
listed below:
2
4x
,
4
10x

15. Examples
Find the GCF for the terms
listed below:
4, 9m3
46m

16. Examples
Find the GCF for the terms
listed below:
3, 6x2,
2x
8
10x

17. Examples
Find the GCF for the terms
listed below:
2, 12y,
9y
2
18y

18. Factoring
2
12x
– 15x 

19. Factoring
2
12x
– 15x  3x (4x – 5)

20. So…
• For each polynomial you will
first need to determine the
GCF.
• Then each terms is divided by
the GCF to find the part in the
parenthesis.

21. Example
• Factor:
2
3x
+ 6x =

22. Example
• Factor:
2
16x
+ 4x =

23. Example
• Factor:
2
6x
+ 26 =

24. Example
• Factor:
4
3y
–
3
12y
+
2
9y
=

25. Example
• Factor:
3
2x
–
2
6x
+ 8x =

26. Example
• Factor:
7
100x
+
6
20x
+
5=
50x

28. Drill
Distribute and simplify:
1) (2x – 1)(3x + 5)
2) (x + 1)2 =

29. GCF
• The greatest common factor
of a set of numbers is the
largest number that divides
evenly into all the numbers
in that set.

30. GCF
• We need to be able to do
this for 2 or 3 numbers.
• If the numbers are relatively
prime the GCF is one.

31. Examples
Find the GCF for the
numbers listed below:
12, 20

32. Examples
Find the GCF for the
numbers listed below:
8, 64

33. Examples
Find the GCF for the
numbers listed below:
14, 56

34. Examples
Find the GCF for the
numbers listed below:
40, 21

35. Examples
Find the GCF for the
numbers listed below:
10, 12, 20

36. Examples
Find the GCF for the
numbers listed below:
24, 16, 30

37. With Variables Involved
• When you have variables in
your terms you will do the
number things just like we
did. For the variables
simply take the least
amount of each one.

38. Examples
Find the GCF for the terms
listed below:
2
4x
,
4
10x

39. Examples
Find the GCF for the terms
listed below:
4, 9m3
46m

40. Examples
Find the GCF for the terms
listed below:
3, 6x2,
2x
8
10x

41. Examples
Find the GCF for the terms
listed below:
2, 12y,
9y
2
18y

42. Factoring
2
12x
– 15x 

43. So…
• For each polynomial you will
first need to determine the
GCF.
• Then each terms is divided by
the GCF to find the part in the
parenthesis.

44. Example
• Factor:
2
3x
+ 6x =

45. Example
• Factor:
2
16x
+ 4x =

46. Example
• Factor:
2
6x
+ 26 =

47. Example
• Factor:
4
3y
–
3
12y
+
2
9y
=

48. Example
• Factor:
3
2x
–
2
6x
+ 8x =

49. Example
• Factor:
7
100x
+
6
20x
+
5=
50x