1. Solving Quadratic Equations by Factoring 33 22 11 Terminology Zero Factor Theorem Methods for Solving

2. Terms TerminologyDefinitionExample Quadratic Equation in xAn equation that can be written in the form ax 2 + bx + c =0, where a≠0 2 www.themegallery.com

3. Zero Factor Theorem  If p and q are algebraic expressions, then pq=0 if and only if p=0 or q=0  Example: (x+2)(2X-4)=0; x+2=0 and/or 2x-4=0  Steps  Get all variables & constants set equal to zero  Factor  Set each factor equal to zero  Solve each factor individually  CHECK YOUR ANSWER 3

4. Zeros of the Function: Graphs 4 Zeros of the Function

5. Solving by Factoring  Solve 3x 2 =10-x 5

6. More Solving by Factoring  Solve the equation x 2 + 16 =8x 6

7. When to Use What  Multiples of a variable or constant  Example:  GCF  3 terms without a multiple of a variable or constant  Example:  Rainbow Method 7