6.3 gcf factoring

371 views

Published on

Published in: Technology, Business
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
371
On SlideShare
0
From Embeds
0
Number of Embeds
33
Actions
Shares
0
Downloads
1
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

6.3 gcf factoring

  1. 1. Drill Distribute and simplify: 1) (2x – 1)(3x + 5) 2) (x + 1)2 =
  2. 2. Objective • SWBAT factor polynomials by finding the greatest common factor.
  3. 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. 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. 5. Examples Find the GCF for the numbers listed below: 12, 20
  6. 6. Examples Find the GCF for the numbers listed below: 8, 64
  7. 7. Examples Find the GCF for the numbers listed below: 14, 56
  8. 8. Examples Find the GCF for the numbers listed below: 40, 21
  9. 9. Examples Find the GCF for the numbers listed below: 10, 12, 20
  10. 10. Examples Find the GCF for the numbers listed below: 24, 16, 30
  11. 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. 12. Objective • SWBAT factor polynomials using the GCF.
  13. 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. 14. Examples Find the GCF for the terms listed below: 2 4x , 4 10x
  15. 15. Examples Find the GCF for the terms listed below: 4, 9m3 46m
  16. 16. Examples Find the GCF for the terms listed below: 3, 6x2, 2x 8 10x
  17. 17. Examples Find the GCF for the terms listed below: 2, 12y, 9y 2 18y
  18. 18. Factoring 2 12x – 15x 
  19. 19. Factoring 2 12x – 15x  3x (4x – 5)
  20. 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. 21. Example • Factor: 2 3x + 6x =
  22. 22. Example • Factor: 2 16x + 4x =
  23. 23. Example • Factor: 2 6x + 26 =
  24. 24. Example • Factor: 4 3y – 3 12y + 2 9y =
  25. 25. Example • Factor: 3 2x – 2 6x + 8x =
  26. 26. Example • Factor: 7 100x + 6 20x + 5= 50x
  27. 27. Drill Distribute and simplify: 1) (2x – 1)(3x + 5) 2) (x + 1)2 =
  28. 28. GCF • The greatest common factor of a set of numbers is the largest number that divides evenly into all the numbers in that set.
  29. 29. GCF • We need to be able to do this for 2 or 3 numbers. • If the numbers are relatively prime the GCF is one.
  30. 30. Examples Find the GCF for the numbers listed below: 12, 20
  31. 31. Examples Find the GCF for the numbers listed below: 8, 64
  32. 32. Examples Find the GCF for the numbers listed below: 14, 56
  33. 33. Examples Find the GCF for the numbers listed below: 40, 21
  34. 34. Examples Find the GCF for the numbers listed below: 10, 12, 20
  35. 35. Examples Find the GCF for the numbers listed below: 24, 16, 30
  36. 36. 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.
  37. 37. Examples Find the GCF for the terms listed below: 2 4x , 4 10x
  38. 38. Examples Find the GCF for the terms listed below: 4, 9m3 46m
  39. 39. Examples Find the GCF for the terms listed below: 3, 6x2, 2x 8 10x
  40. 40. Examples Find the GCF for the terms listed below: 2, 12y, 9y 2 18y
  41. 41. Factoring 2 12x – 15x 
  42. 42. 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.
  43. 43. Example • Factor: 2 3x + 6x =
  44. 44. Example • Factor: 2 16x + 4x =
  45. 45. Example • Factor: 2 6x + 26 =
  46. 46. Example • Factor: 4 3y – 3 12y + 2 9y =
  47. 47. Example • Factor: 3 2x – 2 6x + 8x =
  48. 48. Example • Factor: 7 100x + 6 20x + 5= 50x

×