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1.5_bzca5e

# 1.5_bzca5e - Section 1.5 Quadratic Equations Definition of...

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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 second-degree polynomial equation in x.

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The Zero-Product 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 zero-product 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

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Example 2 5 6 0 x x - + = Solve by factoring:
Example Solve by factoring: 2 3 40 x x + =

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Example Solve by factoring: 2 2 11 15 0 x x - + =
Graphing Calculator The real solutions of a quadratic equation

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