1. Notes - Solving Quadratic Equations in Factored Form
Zero Product Property
If ab = 0, then a = 0 or b = 0
If the product of two factors is zero, then at least one of the factors must be zero.
3 * 0 = 0 0 * 3 = 0 0 * 0 = 0

2. Set each factor equal to zero and solve.
Notes - Solving Quadratic Equations in Factored Form (x + 3)(x + 2) = 0
Set each factor equal to zero and solve.
Check your answers.

3. Ex. 1: Solve the equation (x-2)(x+3) = 0
STEP 1: Set each factor equal to zero.
x-2= 0 and x+3 = 0
STEP 2: Solve for x.
x-2= 0
x+3 = 0
x=-3
x = 2
STEP 3: Check your answers.
(x-2)(x+3) = 0
(x-2)(x+3) = 0
(2-2)(2+3) = 0
(-3-2)(-3+3) = 0
(-5)(0) = 0
(0)(5) = 0
0 = 0
0 = 0

4. Solve 1) x2 + 5x + 6 = 0 2) x2 – 2x – 8 = 0 3) x2 + 7x + 6 = 0

5. Answers
1) x = -3, -2
2) x = -2, 4
3) x = -1, -6
4) x = 0, -5/2

6. $25,000 Pyramid

7. $25,000 Pyramid x=15, -6 x =20, -10 (x-12)(x+4) x = 6, x=-5 (x-8)(x+5)

8. $25,000 Pyramid (x-14y)(x+5y) (x-10)(x+10) X=11, x=-6 (x-5)(x+4)