1. Solving Equations in Factored Form
Critical Thinking Skill:
Demonstrate Understanding of Concepts

2. Solving Equations in Factored Form
standard form:
 2x2 + 27x - 45 = 0
factored form:
 (2x - 3)(x + 15) = 0
* polynomial written as a product of 2 or more linear factors

3. Factorization
Choose the correct factorization for each. (Use FOIL)
1.) x2 10x + 16
2.) x2 x 20
A.) (x 4)(x 4)
B.) (x 8)(x 2)
A.) (x + 4)(x 5)
B.) (x + 5)(x 4)

4. Zero Product Property: If a b = 0, then a = 0 or b = 0.
ex 1: ( x - 4) (x + 1) = 0
ex 2: ( 3x - 2) (4x + 3)(x + 4) = 0
ex 3: ( x + 8)2 = 0

5. ex 4: Find the x-intercepts and vertex of the graph of: y = ( x + 2)(2x - 4)
Steps:
1). Set equation = 0
2). Use the zero property 
to find solutions
(x-intercepts)
3). Find the vertex:
 a). x= average of x-
intercepts
 b). To find y, plug x
in original equation
 c) write as a point

6. ex 5: Find the x-intercepts and vertex of the graph of: y = ( x - 2)(x - 6)