1. Example: 3x 2 + 9x + 6

2. Solving Quadratic Equations

3. Quadratic Equation: An equation with the highest power being x 2

4. To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero

5. To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero 2.Factor the expression

6. To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero 2.Factor the expression 3.Set each of the factors equal to zero separately

7. To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero 2.Factor the expression 3.Set each of the factors equal to zero separately 4.Solve the equations

8. To Solve a Quadratic Function: 1.If necessary, rewrite the equation so that it is equal to zero 2.Factor the expression 3.Set each of the factors equal to zero separately 4.Solve the equations 5.Check your solution

9. Example 1: x 2 + 5x + 4 = 0

10. Example 2: x 2 + 3x = 28

11. Example 3: x 2 = 6x – 8

12. Example 4: x 2 – 7x = 3 – 9x

13. Practice 1: x 2 + 10x + 24 = 0

14. Practice 2: x 2 + 9x = –18

15. Practice 3: x 2 + 12x = 5x – 10