1. FACTORING INTEGRATED MATHEMATICS

2. Students will calculate the GCF of 2 or 3 terms of a polynomial. Students will calculate the GCF of 2 or 3 terms of a polynomial. Students will apply concepts of GCFs and Factoring to write the factored form of a polynomial. Students will apply concepts of GCFs and Factoring to write the factored form of a polynomial. FACTORING USING GCF

3. Steps 1. Find the greatest common factor (GCF) 2. Divide the polynomial by the GCF. The quotient is the other factor. 3.Express the polynomial as the product of the quotient and the GCF. FACTORING USING GCF

4. FACTOR

5. FACTOR

6. FACTOR

7. FACTOR

8. FACTOR

9.  Students will apply concepts of Perfect Squares and Factoring to write the factored form of the Difference of Two Squares. DIFFERENCE OF TWO SQUARES

10.  There must be two terms that are both squares  Examples of squares  There must be a minus sign between the two terms DIFFERENCE OF TWO SQUARES

11. 1² = 1 11²= 121 2² = 412² = 144 3² = 9 13² = 169 4² = 1614² = 196 5² = 2515² = 225 6² = 3616² = 256 7² = 4917² = 289 8² = 6418² = 324 9² = 8119² = 361 10² = 10020² = 400 PERFECT SQUARES

12. FACTORING DIFFERENCE OF TWO SQUARES FORMULA A 2 – B 2 = (A + B)(A – B)

13. FACTOR Ex. 6)

14. FACTOR Ex. 7)

15. FACTOR Ex. 8)

16. FACTOR Ex. 9)

17. FACTOR Ex. 10)

18. FACTOR Ex. 11)

19. FACTOR Ex. 12)

20. FACTOR Ex. 13)

21. FACTOR. LOOK FOR GCF FIRST! Ex. 14)

22. FACTOR. LOOK FOR GCF FIRST! Ex. 15)

23. FACTOR. LOOK FOR GCF FIRST! Ex. 16)

24. FACTORING COMPLETELY  Means to factor until factoring is no longer possible

25. FACTOR.

27. FACTORING TRINOMIALS

28. 1.Write two sets of parenthesis, ( )( ). These will be the factors of the trinomial. 2. Think of factors of c that add up to b.

29. FACTOR Example 1

30. FACTOR Example 2

31. FACTOR Example 3

32. FACTOR Example 4

33. FACTOR Example 5

34. FACTOR Example 6

35. FACTOR Example 7

36. FACTOR Example 8

37. FACTOR Example 9

38. FACTOR Example 10

39. FACTOR Example 11

40. FACTOR Example 12

41. FACTOR Example 13