A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic equations by the factoring.

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Presentation transcript:

A Quadratic Equation is an equation that can be written in the form Solving Quadratic Equations – Factoring Method Solving quadratic equations by the factoring method is very similar to solving polynomial equations by factoring, which was discussed at length in an earlier chapter.

Factoring Method to Solve Quadratic Equations 1.Move all non-zero terms to one side of the equation and simplify. 2.Factor the quadratic expression. 3.Set each factor containing a variable equal to zero. The Principle of Zero Products is used for this step 4.Solve the resulting equations.

Example 1: Move all terms to left side Factor Set each factor to zero Solve each equation. Solve the equation

Example 2: Move all terms to right side since the quadratic term is positive on that side Factor Set each factor to zero Solve each equation. Solve the equation

Example 3: Move all terms to left side Factor Set each variable factor to zero Solve each equation. Solve the equation