Added by Wandering Nomad on August 17, 2001 at 02:11:39:
The master product method for solving quadratic equations is as follows:
Example: Solve x^2+10x+25.
First, take the x^2 coefficient(in this case 1) and multiply it by the constant (in this case 25).
Second: Now use basic arithmetic skills to solve by thinking of the equation as follows,
()*()=25 (What times what gives you 25
and what plus what gives you 10?
Third: Setting up the problem in this way now gives you an idea of what goes in the parentheses
(in this case 5) Now we have
Fourth: Therefore, the equation x^2+10x+25 may be viewed thusly: (x+5)*(x+5}. Use the FOIL method to see that this works out.
Fifth and final point: Now, set these up in regular quadratic form
In this problem, both values for x are -5.
This is the master product method for solving quadratic equations.