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Unformatted text preview: Section 1.5 Quadratic Equations 2 Definition of a Quadratic Equation A quadratic equation in x is an equation that can be written in the general form 0, where a, b, and c are real numbers, with a 0. A quadratic equation in x is a ax bx x + + = ≠ lso called a seconddegree polynomial equation in x. Solving Quadratic Equations by Factoring The ZeroProduct Principle If the product of two algebraic expressions is zero, then at least one of the factors is equal to zero. If AB=0, then A=0 or B=0 2 Solving a Quadratic Equation by Factoring 1. If necessary, rewrite the equation in the general form ax +bx+c=0, moving all terms to one side, thereby obtaining zero on the other side. 2. Factor completely. 3. Apply the zeroproduct principle, setting each factor containing a variable equal to zero. 4. Solve the equations in step 3. 5. Check the solutions in the original equation Example 2 5 6 x x + = Solve by factoring: Example Solve by factoring: 2 3 40 x x + = Example Solve by factoring: 2 2 11 15 x x + = Graphing Calculator The real solutions of a quadratic equation...
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This document was uploaded on 10/26/2011 for the course FKP bmfp at UTEM Chile.
 Fall '11
 jayjohn

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