SOLUTION: If you have the solutions: -3 and -2, what would the quadratic equation be?

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Question 322200: If you have the solutions: -3 and -2, what would the quadratic equation be?
Found 2 solutions by Earlsdon, Edwin McCravy:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
If the solution to a quadratic equation are:
and then the factors were:
and so to find the original quadratic equation, just multiply these two factors:
= Simplify this to:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

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:

      x2 + 5x + 6 = 0

Edwin
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