1. Objective: factor polynomials by finding the GCF, identifying perfect squares & “undoing the box”. What is factoring and how is it done?

2. Factoring Un-multiplying or Un-distributing Break into simpler parts Factored & Un-factored expressions are EQUAL IN VALUE

3. Example Un-factored: 4x – 8 Factored: 4(x – 2) 4x – 8 = 4(x – 2)

4. Greatest Common Factor (GCF) The LARGEST monomial that “divides evenly” into every term

5. Ex) 25x 3 + 5x 25xxx + 5x GCF: 5x

6. DISTRIBUTEFACTOR 2x(x 2 + 5x – 6)4x 3 + 16x 2 – 12x

7. DISTRIBUTEFACTOR 3x 2 (x – 5) + 2(x – 5)2x 3 + 6x 2 + 4x + 12

8. Box/FOILFACTOR (x + 7)(x – 4)x 2 – 2x – 24

9. Box/FOILFACTOR (3x + 1)(x – 4)3x 2 + 19x + 6

23. Ex 1. Factor 5x + 15

24. Ex 2. Factor 8x 2 + 12x

25. Ex 3. Factor 8x 2 + 12x+ 10x + 15

26. Ex 4. Factor 2x 2 + 6x – 3x – 9

27. Ex 5. Factor x 2 – 16

28. Ex 6. Factor 4x 2 – 9

29. Ex 7. Factor x 2 + 9x + 14

30. Ex 8. Factor 3x 2 + 7x + 2

31. Ex 9. Factor 3x 2 + 6x – 9

32. Ex 10. Factor 4x 2 – 2x – 20

35. The area of a rectangle is represented by the expression 3x 2 + 12x. The length of the rectangle is 3x, what expression represents the width? Area = 3x 2 +12x 3x Width = ?

36. – Area = x 2 – 64 Length = ? Width = ?

37. to be turned in for a grade Directions: find the length and/or width of every rectangle. Record your answers on your own paper to be turned in for a grade. White rectangle Blue Rectangle Orange Rectangle Pink Rectangle Green Rectangle