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# 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