Solving Quadratic Equations by Factoring Terminology Zero Factor Theorem Methods for Solving

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

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

Zeros of the Function: Graphs 4 Zeros of the Function

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

More Solving by Factoring  Solve the equation x =8x 6

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