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## Solving Quadratic Equations

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**Before we learn to solve quadratic equations, we need to**remember an important property!**Zero Product Property**If ab = 0, then a = 0 or b = 0. Examples: a and b are real numbers (“factors”) 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.**Solving Quadratics**Let’s learn how to solve quadratics by factoring the greatest common factor!**When solving by factoring the GCF, the quadratic equation**will look a certain way!**The quadratic equation will have two types of terms: A**quadratic term and a linear term. Examples**OK, so how do we solve quadratic equations that look this**way?!!!**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**You Try It!**Solve Factor the GCF!**YOU DID IT!Hooray!!!**THE END