1. Warm-Up Factor. x2 – 10x + 25 64x2 – 16x + 1 Multiply.
3. (5x + 3y)(5x + 3y)
Homework: HW P5B (57-64 all)
Answers:
(x-5)2
(8x-1)2
25x2 +30xy +9y2

2. Answers to HW P5A #17-37 odds, 49-55 odds
17. (x+2)(x+3) 19. (x-5)(x+3) 21. (x-5)(x-3)
23. (3x+2)(x-1) 25. (3x-28)(x+1) 27. (2x-1)(3x-4)
29. (2x+3)(2x+5) 31. (3x-1)(3x-2) 33. (5x+8)(4x-1)
35. (2x+y)(x+y) 37. (3x+2y)(2x-3y) 49. (x+1)2
51. (x-7) (2x+1) (3x-1) 2

3. Objective: Factoring Polynomials
Factoring the Sum and Difference of Cubes:

4. P5B-- Factoring Continued:
Factoring the Sum and Difference of Cubes: Don’t forget to check for the GCF!! Formulas: SUM: A3 + B3 = (A+B)(A2 – AB + B2) DIFFERENCE: A3 - B3 = (A-B)(A2 + AB + B2) A and B come from cube rooting the terms in the problem.

5. Example 1: x3 + 8 Step 1: Check for GCF, there is none
Step 2: Cube root each of the terms
A = x and B = 2
Step 3: Follow formula
A3 + B3 = (A+B)(A2 – AB + B2)
= (x+ 2)(x2 - 2x + 4)

6. Example 2 Continued:
b) 64x Step 1: Check for GCF, there is none Step 2: Cube root terms A = 4x and B = 5 Step 3: Follow formula A3 - B3 = (A-B)(A2 + AB + B2) = (4x-5)(16x2 + 20x + 25)

7. YOU TRY!!! x3 + 64 b) 125x3 – 8 Answers: (x+4)(x2 – 4x + 16)

8. In your Reflection Notebook:
Explain in writing how to factor a cubic equation. x3+1
Tonight’s homework: HW P5B, #57-64 all