Lesson14 - MA 15200 Lesson 14 Section 1.5 (part 1) The...

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1 MA 15200 Lesson 14 Section 1.5 (part 1) The general form of a quadratic equation is 2 0 ax bx c + + = , where a, b, and c are real numbers and 0 a . This is a second degree equation. There are four ways to possibly solve quadratic equations. 1. Solving by Factoring 2. Solving by the Square Root Property 3. Solving by Completing the Square 4. Solving with the Quadratic Formula I Solving by Factoring Zero-Product Principle: If the product of two algebraic expressions is zero, then at least one of the factors is equal to zero. If 0, then 0 or 0. AB A B = = = Steps: 1. If necessary, rewrite the equation in general form (zero on one side, polynomial in descending order). 2. Factor the polynomial completely. 3. Apply the zero-product principle, setting each factor containing a variable equal to zero. 4. Solve the resulting equations. Ex 1: Solve by using factoring. 2 2 2 2 ) 28 3 ) 121 0 ) 3 30 0 ) 5 12 2 a x x b x c x x d x x = - - = + = + =
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2 Note: If a quadratic equation can be solved by factoring, the solution(s) is(are)
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Lesson14 - MA 15200 Lesson 14 Section 1.5 (part 1) The...

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