Section 4.5: Zero Product Property DO NOW Factoring Today, we will learn why we factor and how this is such a useful tool. Zero Product Property The zero product property: Anything multiplied by 0 = 0 Duh. Were going to need this though. 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 Properties of a quadratic You just found the zeros of Now find the vertex and the y-intercept of the function. 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 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 Zero(s) of a Quadratic The point(s) at which a quadratic function crosses the x-axis. These points occur when y = 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 Assignment # Pg , #9-17, 57