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					                6.5 –Solving Quadratic Equations by Factoring

   - The purpose of factoring is to be able to easily solve equations that
     contains a squared variable
   - Such equations are called quadratics equations

The Zero Factor Theorem
  - If a*b = 0, then either a = 0 or b = 0
  - We use the zero factor theorem to solve factored polynomial
     equations
  - We set each factor equal to 0 and solve

Examples – Solve for x
                         b. (x+7)  10  = 0
                                    x
a. (x+5)(x-1) = 0                      
                                   2     

Solving Quadratic Equations
   1) Write the equation in standard form so that one side equals 0
   2) Factor the polynomial
   3) Solve each factored equation to obtain the solutions.

Examples
a. x2 + 5x + 4 = 0      b. x 2  13x  36    c. 3x 2  6 x  9

d. x 2  15  2 x      e. 3x2 - x = 14       f. 5 x 2  6 x  8

f. x3 = 16x             g. 2 x 2  72

				
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