 # 4.5 Part1 Notes Alg2.pdf - 4.5 Solving Quadratic Equations...

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4.5 Solving Quadratic Equations by FactoringTo solve a quadratic equation is to find the x values for which the function is equal to_____. The solutions are called the _____ or _______of the equation.To do this, we usethe Zero Product Property:Zero Product PropertyList some pairs of numbers that multiply to zero:(___)(___) = 0(___)(___) = 0(___)(___) = 0(___)(___) = 0What did you notice? _______________________________________________Use this pattern to solve for the variable:1.Get the quadratic =0 and factor completely2.Set each () = 0 (this means to write two new equations)3.Solve for the variable (you sometimes get more than 1 solution)EXAMPLE 1: Solve by factoring?2+ 1? − 6 = 0.EXAMPLE 2: Solve by factoring
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Unformatted text preview: 2?2 − ? − 3 = 0 . ZERO PRODUCT PROPERTY If the _________ of two expressions is zero, then _______ or _______ of the expressions equals zero. Algebra If Aand Bare expressions and AB = ____ , then A = ____ or B = ___. Example If ( x+ 5)(x + 2) = 0, then x + 5 = 0 or x + 2 = 0. That is, x= __________ or x = _________. Practice: Solve by factoring 1. 2 730 x x + − = EXAMPLE 3: Solve by factoring 2 3 2 21x x − = Practice: Solve by factoring 2. 4? 2 − 14? + 7 = 4 − ? . EXAMPLE 4: Solve by factoring x 2– 6x = 0 Practice: Solve by factoring 3. 9x2 + 12x = 0 Graph the function. Label the vertex and axis of symmetry: ? = ?2 + 6? + 8Use −? 2?to find the vertex: Factor to find the x intercepts: Identify the y-intercept:...
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