6.3 gcf factoring day 2

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  • 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. Objective • SWBAT factor polynomials using the GCF.
  • 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. Examples Find the GCF for the terms listed below: 2 4x , 4 10x
  • 5. Examples Find the GCF for the terms listed below: 4, 9m3 46m
  • 6. Examples Find the GCF for the terms listed below: 3, 6x2, 2x 8 10x
  • 7. Examples Find the GCF for the terms listed below: 2, 12y, 9y 2 18y
  • 8. Factoring 2 12x – 15x 
  • 9. Factoring 2 12x – 15x  3x (4x – 5)
  • 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. Example • Factor: 2 3x + 6x =
  • 12. Example • Factor: 2 16x + 4x =
  • 13. Example • Factor: 2 6x + 26 =
  • 14. Example • Factor: 4 3y – 3 12y + 2 9y =
  • 15. Example • Factor: 3 2x – 2 6x + 8x =
  • 16. Example • Factor: 7 100x + 6 20x + 5= 50x
  • 17. Drill Distribute and simplify: 1) (2x – 1)(3x + 5) 2) (x + 1)2 =
  • 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. 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. Examples Find the GCF for the numbers listed below: 12, 20
  • 21. Examples Find the GCF for the numbers listed below: 8, 64
  • 22. Examples Find the GCF for the numbers listed below: 14, 56
  • 23. Examples Find the GCF for the numbers listed below: 40, 21
  • 24. Examples Find the GCF for the numbers listed below: 10, 12, 20
  • 25. Examples Find the GCF for the numbers listed below: 24, 16, 30
  • 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. Examples Find the GCF for the terms listed below: 2 4x , 4 10x
  • 28. Examples Find the GCF for the terms listed below: 4, 9m3 46m
  • 29. Examples Find the GCF for the terms listed below: 3, 6x2, 2x 8 10x
  • 30. Examples Find the GCF for the terms listed below: 2, 12y, 9y 2 18y
  • 31. Factoring 2 12x – 15x 
  • 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. Example • Factor: 2 3x + 6x =
  • 34. Example • Factor: 2 16x + 4x =
  • 35. Example • Factor: 2 6x + 26 =
  • 36. Example • Factor: 4 3y – 3 12y + 2 9y =
  • 37. Example • Factor: 3 2x – 2 6x + 8x =
  • 38. Example • Factor: 7 100x + 6 20x + 5= 50x