1. February 15 th, 2012

2. Factor the following. Determine whether to factor by GCF, Easy Trinomial (ET), Hard Trinomial (HT), Factoring By Grouping (FBG)—or a combination! Write to the side the methods you used! First example is done… 1) 20x 2 - 115x - 30__GCF __HT_ 2 ) x 2 + 4x – 96______ ______ 3)14a 2 b - 63a 5 b 6 ______ ______ 4)12x 3 +3x 2 +20x +5______ ______

3. Multiply (x – 2) (x + 2)…. This product is a little different than the rest. What is it missing? A middle term!

4. If given x 2 – 4, and asked to factor, how could you set this up using what you know already? What is the middle coefficient, b ? What is the last number, c ? Can you find two numbers that add to be zero and multiply to be – 4 ? -4 0

5. a 2 - b 2 = (a - b) (a + b) x 2 - 2 2 = (x - 2) (x + 2) x 2 – 4 = (x - 2) (x + 2) This only works for the DIFFERENCE, not sum/addition!

6. Factor x 2 - 9 = (a - b) (a + b) What number squared is 9? So… (x - 3) (x + 3) Check your answer by FOIL or box!

7. What if there is a coefficient in the front? 4x 2 – 25 It works the same way! What number squared is 4? 25? (2x - 5) (2x + 5)

8. 1) x 2 – 144 2) w 2 – 64 3) 16m 2 – 49 4) 9k 2 – 400

9. Multiply (x + 6) (x + 6)…. What do you notice about the product? Can you find a pattern?

10. a 2 + 2ab + b 2 = (a + b) (a + b) x 2 + 8x + 16 = (x + 4) (x + 4) x 2 +2(1)(4) + 4 2 = (x + 4) (x + 4) If you are having trouble recognizing the pattern, practice factoring like we did earlier.

11. 1) x 2 + 6x + 9 2) x 2 + 10x + 25

12. a 2 - 2ab + b 2 = (a - b) (a - b) x 2 - 14x + 49= (x - 7) (x - 7) x 2 – 2(1)(7) + 7 2 = (x - 7) (x - 7) Why do we ADD b 2 ?

13. 1) x 2 - 10x + 25 2) x 2 - 20x + 100

14. What if there is a coefficient in the front? 4x 2 – 12x + 9 What number squared is 4? 9? (2x - 3) Why is there a 12x in the middle? Check your answer!

15. 1) 4x 2 + 36x + 81 2) 25z 2 + 40z + 16

16. 1) 9n 2 – 42n + 49 2) 36d 2 – 60d + 25

17. Is 24g 2 -6 a difference of two squares? What should I do first? GCF = So…. 24g 2 – 6 = 6 (4g 2 – 1) = 6 (2g - 1) (2g + 1) Now factor using difference of squares!

18. 1)27x 2 + 90x + 75 2) 8z 2 - 64z + 128

19. Find the side length of the square! Area = 25r 2 - 30r + 9

20. Factor: c 10 – 30c 5 d 2 + 225d

21. If 49x 2 – kx + 36 is a perfect square trinomial, what is the value of k?

22. Workbook pg. 247 Factoring Special Cases COMPLETE ALL ODDS! Workbook pg. 248 Choose any 5 questions between #26-43