1. 10-6 Solving Quadratic Equations by Factoring

2. Zero-Product Property
States that if the product of 2 factors is zero, then 1 (or both) of the factors must be 0.
If the product ab=0, then a=0 OR b=0.

3. Solving by factoring
Make sure the equation is written in standard form. (ax2+bx+c=0)
Factor
Set factors each with variables = 0.
Solve for x.
Check

4. Examples
x2+7x+12 = d2-2d-24=0
n2+4n= a2+18a-10=0
c2+13c= w2-5w=0

5. Summary of Methods for Solving ax2+bx+c
1)Finding square roots
2) Quadratic Formula
3) Factoring
Comments
1)Efficient for ax2+c=0
2)Can be used on ANY quadratic
3) Efficient if quadratic can be factored easily

6. Quadratic Formula

7. assignment