6.3 gcf factoring day 2

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6.3 gcf factoring day 2

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

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