1. The Zero Product Property

2. Solve
4 0a  7 0b 
0a b 
0a  0b 
0 or 0a b 

3. The Zero Product Property
 If the product equals zero, at least ONE of the factors
(things being multiplied together) must be equal to
zero.
 With quadratic equations, we can factor to create a
product that equals zero to help us find the value(s) of
the variable.

4. Solve the Equation
2
7 12 0x x  
  3 4 0x x  
 3 0x    4 0x 
3x   4x  

5. Solve the Equation
2
7 0x x 
 7 0x x  
0x   7 0x 
0x  7x  

6. Solve the Equation
2
8 12 0x x  
  2 6 0x x  
 2 0x    6 0x  
2x  6x 

7. Solve the Equation
2
11 12 0x x  
  12 1 0x x  
 12 0x   1 0x  
12x  1x  

8. Solve the Equation
2
15 56x x  
  8 7 0x x  
 8 0x    7 0x  
8x  7x 
2
15 56 0x x  

9. Solve the Equation
2
20x x  
  0 4 5x x  
 0 4x   0 5x 
4x  5x  
2
0 20x x  

10. p. 256 # 24 - 38