# Find the greatest common factor

Find the greatest common factor and factor by grouping (see attached)

1. Find the greatest common factor (GCF) of 18x and 15x

2. Find the greatest common factor (GCF) of 28 a b and 44 ab

3. Factor. Check by multiplying 4x + 36x=

4. Factor. Check by multiplying =

5. Factor. =

6. Factor by grouping. =

7. Factor by grouping. =

8. Factor the trinomial. =

9. Factor the trinomial. =

10. Factor. =

11. Factor the trinomial. =

12. Factor. =

13. Factor. =

14. Factor. =

15. Factor the trinomial completely. =

16. Factor. Note that the middle term has already been split. =

17. Factor by grouping. =

18. Factor by grouping. =

19. Factor by grouping. =

20. Factor the trinomial. =

21. Factor completely. =

22. Determine whether the expression is a trinomial square. Yes No

23. Factor. =

24. Factor completely. =

25. Factor. =

26. Factor completely. =

27. Factor. =

28. Factor completely. = (Type the answer in factored form)

29. Factor completely. =

30. Factor completely. =

31. Solve using the principle of zero products.

32. Solve using the principle of zero products. The solution is c= Use a comma to separate answers.

33. Solve using the principle of zero products. Use a comma to separate answers.

34. Solve. The solution is s =

35. Solve. The solution is s =

36. Use the graph to solve. Use a comma to separate answers as needed.

37. A rectangular table is three times as long as it is wide. If the area is 48 find the length and the width of the table.

38. There are teams in a league and the number of games played is given by the polynomial . A woman's softball league has 12 teams. What is the total number of games to be played?

39. The product of the page number on two facing pages of a book is 182. Find the page numbers.

#### Solution Preview

Solution is attached.

1. Find the ` (GCF) of 18x and 15x

3x

2. Find the greatest common factor (GCF) of 28 a b and 44 ab

4ab2

3. Factor. Check by multiplying 4x + 36x=

4x(x+9)

4. Factor. Check by multiplying =

5. Factor. =

(x3+9)(x+2)

6. Factor by grouping. =

7. Factor by grouping. =

8. Factor the trinomial. =

(r+3)(r+4)

9. Factor the trinomial. =

(v-7)(v-5)

10. Factor. =

(r-6)(r+4)

11. Factor the trinomial. =

12. Factor. =

13. Factor. =

14. Factor. =

15. Factor the trinomial completely. =

16. Factor. Note that the middle term has already been split. =

17. Factor ...

#### Solution Summary

The expert finds the greatest common factors.