Question 322200
<pre><b>
We just do it backwards:

If we had started with a quadratic equation,
solved it and found the solutions were -3 and -2, 
we would have ended up with this:

   x = -3    and   x = -2

Before that, we would have had these two equations:

 x + 3 = 0   and   x + 2 = 0 

Before that, we would have had this product:

     (x + 3)(x + 2) = 0

Before that we would have had that FOILed out
before it was factored:

      x<sup>2</sup> + 5x + 6 = 0

Edwin</pre>