1. Solving Quadratic Equations

2. Before we learn to solve quadratic equations, we need to remember an important property!

3. Zero Product Property If ab = 0, then a = 0 or b = 0.
a and b are real numbers (“factors”)
Examples:
a2= 0, then a = 0
3b = 0 then b = 0
a(a + 2) = 0, then a = 0 or a +2 = 0
SO…
a = 0 or a = -2.

4. Solving Quadratics
Let’s learn how to solve quadratics by factoring the greatest common factor!

5. When solving by factoring the GCF, the quadratic equation will look a certain way!

6. The quadratic equation will have two types of terms: A quadratic term and a linear term.
Examples

7. OK, so how do we solve quadratic equations that look this way?!!!

8. Solve by factoring GCF Solve
Step 1: Make one side zero, if not already.
Step 2: Factor out the GCF.
Step 3: Set each factor to zero and solve for the variable. OR

9. Let’s Practice!

10. You Try It!
Solve
Factor the GCF!

11. YOU DID IT! Hooray!!!
THE END