1. Solving Quadratic Equations by Factoring

2. Zero-Product Property If ab=0, then either a=0, b=0 or both=0 States that if the product of two factors is zero then one (or both) of the factors must be zero.

3. x 2 -11x+24 (x - 8)(x – 3) Factor a trinomial

4. Factor Quadratic Equation x 2 -11x + 24 = 0 Then (x-8)(x-3)=0 Either x-8=0 or x-3=0 Solve x-8=0 x-3=0 x=3 x=8 Solution x = 3, 8

5. (2x+ )(x- )=0 (2x+5 )(x- 1 )=0 2x+5=0x-1=0 2x=-5x=1 2x 2 +3x-5=0

6. *REMEMBER* The solution is where the parabola crosses the x-axis when you graph the quadratic!

7. Make sure your quadratic is in standard form!!!!! 4x 2 =7x+2 4x 2 -7x-2=0 NOW FACTOR (4x+1)(x-2)=0 Keep x 2 positive

8. Solve for x 4x+1=0 4x=-1 x-2=0 x=2

9. Sometimes there is just one solution: x 2 -6x+11=2 -2 x 2 -6x+9 = 0 Perfect sq. tri. (x-3) 2 =0 x-3=0 x=3

10. Solve 4y 2 -18y=0 (2y)(2y-9)=0 2y=02y-9=0 Y=0 2y=9