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MATH 1414 Section 1.4 Quadratic Equations What is a quadratic equation ? It is any equation in the following form where a,b, and c are constant real numbers. Any equation with a highest exponent of 2 (i.e. degree 2) is a quadratic equation and will have to be solved in special ways. In this section we will examine three such ways: 1. Solve by factoring. (Equation must be set to zero.) 2. Solve by taking square roots (only if middle term is missing or expression is a perfect square.) 3. Solve by using the quadratic equation. (Equation must be set to zero.) Factoring By factoring we mean reversing or undoing the F.O.I.L. method for multiplying. We use the zero-product property and so the equation must be set equal to 0. Example 1. Solve by factoring . Example 2. Solve by factoring . Example 3. Solve by factoring . Example 4. Solve by factoring .
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Example 5. Solve by factoring
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