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Unformatted text preview: MA 22000, Lesson 7 Notes Lessons 5.6 (page 350), 8.1 (page 508) Zero-Factor Property: Let a and b represent numbers, variables, or an algebraic expression. If ab = 0, then a = 0 or b = 0. This property also applies to more than two factors. Definition: A Quadratic Equation (in general form) can be written as where a, b, and c are real numbers with a 0. Using Factoring to Solve Polynomial Equations (including some Quadratic Equations): 1. Put the equation in general form (equal to zero) 2. Factor the polynomial. 3. Using the zero-factor property, each factor (with a variable) equals zero. 4. Solve each. Ex 1: Solve: Ex 2: Solve: , Ex 3: Solve: ( )( ) Ex 4: Solve: Ex 5: Ex 6: You can solve other polynomial equations similarly by using the zero-factor property and factoring. Ex 7: Ex 8: ( ) Note: Many of you may be familiar with the quadratic formula that could be used to solve a b b 2 4ac quadratic equation of the form . It is x . This formula can 2a be used for solving all or part of the previous examples. ...
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