1. Solving Quadratic Equations by Factoring

2. Factor the following quadratic equation:
y = x2 – x – 12
Now, put the original equation into your calculator and find the zeros. What do you notice?

3. The Zero Product Property
If we have a factored quadratic, we can set the factors equal to 0 to find the zeros (solutions, roots) of the function!
y = (x – 6)(x + 2)
x – 6 = 0
x = 6
x + 2 = 0
x = -2

4. Example 1: Solve by Factoring

5. Example 2: Solve by Factoring

6. Example 3: Solve by Factoring

7. Example 4: Solve by Factoring

8. Example 5: Solve by Factoring