1. FACTORING QUIZ TODAY! Please turn in your homework on the cart. Make sure you name is on it. Clear your desk. When finished, turn it in on the cart and get started on the warm up.

2. Simplify. 1.2. 3.4. (7 + 2i) 2 WARM-UPJAN. 30 TH

3. SOLVING QUADRATIC EQUATIONS Solving ax 2 + bx + c = 0

4. SOLVING BY FACTORING 1. Solve m 2 – 5m – 14 = 0.

5. 2. Solve 2b 2 – 15b = -18.

6. 3. Solve x 2 + 49 = -14x.

7. QUADRATIC EQUATIONS APPLICATIONS 4. Ling is cutting carpet for a rectangular room. The area of the room is 324 ft 2. The length of the room is 3 feet longer than twice the width. What should the dimensions of the carpet be?

8. Standard Form of a Quadratic Equation: ax 2 + bx + c = 0 The Quadratic Formula!

9. Song 1: Frere Jacque opposite of b plus or minus square root b squared minus 4ac all over 2a Song 2: Pop Goes the Weasel x equals negative b plus or minus the square root of b squared minus 4ac all over 2a

10. Write an equation you can solve using the given formula. DO YOU KNOW THE QUADRATIC FORMULA?

11. 1. Solve x 2 – 2x – 24 = 0 EXAMPLES

12. 2. Solve 2x 2 – 4x = 7

13. 3. Solve x 2 + 16 = -8x

14. 4. Solve 3x 2 + 2 = -4x

15. From the discriminant (b 2 – 4ac), we can tell how many solutions a function has.  Discriminant > 0 (positive #)  2 real solutions  Discriminant = 0  1 real solution  Discriminant < 0 (negative #)  NO real solutions, 2 imaginary solutions DETERMINING SOLUTIONS OF QUADRATIC EQUATIONS

16. Determine how many solutions each equation has. 1.9x 2 + 12x + 4 = 0 2.x 2 + 6x + 5 = 0 3.3x 2 + 4x + 2 = 0 USING THE DISCRIMINANT

17. SOLVING WITH SQUARE ROOTS 1.x 2 = 9 2.x 2 + 7 = 32 3.x 2 = 45

18. 5.(x + 4) 2 = 9 6.(x – 3) 2 = 10

19. IS IT A PERFECT SQUARE? 1.x 2 + 14x + 49 2.x 2 – 13x + 36 3.x 2 – 2x + 1

20. SOLVING USING PERFECT SQUARE TRINOMIALS Solve. 1.4x 2 – 12x + 9 = 1

21. 2.x 2 + 12x + 36 = 7

22. COMPLETING THE SQUARE What value of c will make the expression a perfect square trinomial? 1.x 2 + 8x + c 2.9x 2 – 30x + c

23. 1.Solve x 2 – 6x = 7 SOLVING BY COMPLETING THE SQUARE

24. 2.Solve x 2 + 3x – 9 = 1.

25. 3.Solve 2x² + 12x – 1 = 20