1. Welcome to Factoring Back to Basics Multiplication, Addition, Division

2. Start with the simple stuff What is 6 x 7? 42 What is 6 + 7 13 Very good

3. More simple stuff What is 3 x 5? 15 What is 3 + 5? 8 See how simple!

4. One more simple one What is -3 x 4? -12 What is -3 + 4 1 Good job!

5. Now lets go in reverse What are 2 numbers that multiple to 10 and add to 7? Start with finding all the multiples of 10 1 x 10, 2 x 5…… – Do any of those pairs also add up to 7? YES 5 and 2!

6. Another one Find 2 numbers that multiply to get 20 and add to get 9 Multiples of 20? 1 x 20, 2 x 10, 4 x 5….. Any of those pairs add to get 9? 4 and 5

7. One final one Find 2 numbers that multiply to get -6 but add to get +1 List all the multiples of -6 -1 X 6, 1 x -6, -2 x 3, -3 x 2… And the winner is…. -2 and 3

8. Steps for Factoring Is the quadratic in standard form? List a, b, and c Multiply a x c Find two numbers that multiply to get your product but add to get your middle term (b value) Make 2 sets of parentheses with an x in each one ( x )(x ) Put your multiples of in each Divide by a Kick back

9. Put it into practice Factor x ² + 10x + 25 = 0 a.1b. 10 c. 25 1 x 25 = 25 1 x 25, 5 x 5 Is it in standard form? List a. b. and c. Multiply a x c List the multiples of 25

10. Continue x ² + 10x + 25 = 0 5 and 5 (x ) (x + 5)(x + 5) DONE Which multiples also add to 10? Put 2 sets of parentheses with x’s in each Put your multiples in each Divide each multiple by a, if they divide nicely, leave alone

11. Another example 2x ² + 9x + 10 = 0 a.2b. 9c. 10 2 x 10 = 20 1x20, 2x10, 4x5…… Is it in standard form? Find a. b. c. Multiply a x c List multiples of 20 Which set of multiples adds to 9?

12. 4 + 5 = 9 (x )( x ) (x + 4)(x + 5) 2 2 (x + 2)(2x + 5) Put 2 sets of parentheses with x’s in each Put the multiples in each parentheses Divide each number by a Does 4 divide by 2? Does 5 divide by 2? Kickback

13. Let’s practice 2x ² -7x + 5 = 0 a.2b.-7c. 5 2 x 5 = 10 -2 x -5 = 10 and -2 + -5 = -7 (x – 2) (x – 5) (x – 1)(2x – 5)

14. Another?

15. Answers to Day 1 Factoring Practice 1.(x + 5)(x +5) 2.(5x+2)(x+1) 3.(x – 8 )(x -3) 4.(x +4)(x+ 4) OR (x+4) ² 5. (x – 1)(2x – 5)

16. Answers 6. (x – 3)(5x-1) 7. (3x -3)(3x-3) OR (x-1)(x-1) 8. (x -4)(5x-1) 9. (4x + 10)(4x+10) OR (2x+5)(2x+5) 10. (x – 1)(6x -14) 11. (x+6)(3x+1) 12. (4x+10)(x+3)