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Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring. If a ∙ b = 0 then.

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Presentation on theme: "Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring. If a ∙ b = 0 then."— Presentation transcript:

1 Solving Polynomial Equations – Factoring Method A special property is needed to solve polynomial equations by the method of factoring. If a ∙ b = 0 then a = 0 or b = 0. Principle of Zero Products In words, if the product of two quantities is zero, then at least one of the factors must be zero.

2 Factoring Method to Solve Polynomial Equations 1.Move all non-zero terms to one side of the equation and simplify. 2.Factor the polynomial expression. 3.Set each factor containing a variable equal to zero. 4.Solve the resulting equations.

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

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

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