Solving Quadratic Equations  
   9-6  by Factoring 
      Warm Up 
      Find each product. 
       
      1. (x + 2)(x + 7)                  2. (x – 11)(x + 5) 
      3. (x – 10)2 
       
       
      Factor each polynomial. 
       
            2                                           2
      4. x  + 12x + 35                    5. x + 2x – 63  
       
            2                                             2
      6. x  – 10x + 16                    7. 2x – 16x + 32  
               
    Solving Quadratic Equations  
 9-6  by Factoring 
        Learning Goals 
 1. Students will use the Zero Product 
  Property to solve quadratic equations 
 2. Students will solve quadratic equations 
  by factoring 
    Solving Quadratic Equations  
 9-6  by Factoring 
 You have solved quadratic equations by graphing. 
 Another method used to solve quadratic equations is to 
 factor and use the Zero Product Property. 
        Solving Quadratic Equations  
  9-6  by Factoring 
       Example 1: Use the Zero Product Property  
 Use the Zero Product Property to solve the 
 equation. Check your answer. 
      2                             2
     x  – 5x - 14 = 0              x  – 2x = 0 
  A.  (x – 7)(x + 2) = 0        B. (x – 2)(x) = 0 
      2                             2
     x  + 4x = 0                   x  + x - 12 = 0 
    (x)(x + 4) = 0                 (x + 4)(x – 3) = 0 
  C.                            D.