1. Section 4.5: Zero Product Property

2. DO NOW

3. Factoring  Today, we will learn why we factor and how this is such a useful tool.

4. Zero Product Property  The zero product property:  Anything multiplied by 0 = 0…  Duh.  We’re going to need this though.

5. Example 1: Solving for Zeros  What are the solutions to the following equation?  Step 1: Set quadratic equal to zero  Step 2: Factor the quadratic  Step 3: Enact the zero product property

6. Properties of a quadratic  You just found the zeros of  Now find the vertex and the y-intercept of the function.

8. Example 2: Solving for Zeros  What are the solutions to the following equation?  Step 1: Set quadratic equal to zero  Step 2: Factor the quadratic  Step 3: Enact the zero product property

9. Example 3: Solving for Zeros  What are the solutions to the following equation?  Step 1: Set quadratic equal to zero  Step 2: Factor the quadratic

10. Zero(s) of a Quadratic  The point(s) at which a quadratic function crosses the x-axis. These points occur when y =

11. Finding the zeros…  To find the zeros of a quadratic, all you need to do is set y = 0 and solve for x. When you do this, you can get more than one solution. The graphs below show why… One Zero Two Zeros No Zeros

12. Assignment #  Pg. 229-230, #9-17, 57