1. Factoring Polynomials
Chapter 7
Factoring Polynomials

2. Sect. 7.1 Greatest Common Factor and Factoring by Grouping
Ex. 1
Sect. 7.1 Greatest Common Factor and Factoring by Grouping

3. Greatest Common Factor
Ex. 2

4. Understand the Relationship Between Multiplying Polynomials and Factoring Polynomials
Ex. 3

5. Factor Out the Greatest Common Monomial Factor
Ex. 4 Factor out the greatest common factor of 12a5 + 30a4 + 6a3

6. Factoring Out a Negative Factor
Ex. 5

7. Factor Out the Greatest Common Binomial Factor
Ex. 6 Factor out the greatest common factor in x(y + 2) + 9(y + 2)

8. Factor by Grouping
Ex.7 Factor by grouping: ab + 5a + 3b + 15

9. Factor Completely
Ex. 8

10. Sect. 7.2 Factoring Trinomials of the Form x2 + bx + c
Practice Arithmetic Skills
Ex. 1 Find two integers that multiply to 10 and add up to 7

11. Factor a Trinomial of the Form x2 + bx + c
Ex. 2 Factor y2 - 8y + 15

12. Factor Out the GCF and then Factor a Trinomial of the Form x2 + bx + c
Ex. 3

13. Factor a Trinomial Containing Two Variables
Ex. 4

14. Sect. 7.3 Factoring Trinomials of the Form ax2 + bx + c
Ex. 1 Factor 10p2 - 13p + 4 completely

15. Factor by Trial and Error
Ex. 2

16. Factor by Trial and Error continued

17. Another Example of Trial and Error

18. Another Example of Trial and Error cont.

19. Factor Completely
Ex. 5 Factor 12d2 + 46d - 8 completely.

20. Sect. 7.4 Factoring Binomials and Perfect Square Trinomials
Ex. 1

21. Factor Perfect Square Trinomials
Ex. 2 Factor 4p p2 + 36p completely.

22. Factoring the Difference of Two Squares

23. Factor Completely
Ex. 4 Factor 128t - t3 completely

24. Factoring the Sum and Difference of Two Cubes
Ex. 5 Factor n3 + 8

25. Factoring Difference of Two Cubes with a GCF
Ex. 6

26. Mid-Chapter Summary
Ex. 1 Factor 12a2 - 27b2

27. Sect. 7.5 Solving Quadratic Equations by Factoring

28. Solve a Quadratic Equation of the Form ab = 0 where a and b are Linear Factors
Ex. 1

29. Solve ax2 + bx +c = 0 by Factoring
Ex. 2

30. Solve Other Quadratic Equations by Factoring
Ex. 3 Solve the equation 2r2 + 3r = 20 by factoring.

31. Solve Higher Degree Equations by Factoring
Ex. 4

32. Sect. 7.6 Applications of Quadratic Equations

33. Problem Involving Geometry continued

34. Solve Problems Involving Consecutive Integers

35. Solve Problems Involving Consecutive Integers continued

36. The Pythagorean Theorem

37. Example of Pythagorean Theorem Problem

38. Solve an Applied Problem Using the Pythagorean Theorem
Ex. 4

39. Solve an Applied Problem Using the Pythagorean Theorem continued

40. Solve an Applied Problem Using a Given Quadratic Equation

41. Solve an Applied Problem Using a Given Quadratic Equation continued

42. Factor ax2 + bx + c by Trial and Error
Ex. 3
Factor ax2 + bx + c by Trial and Error