SOLUTION: If I am only given the solution how do I find the quadratic equation? I know that I have to work in reverse but I am not sure how to begin. could you help with an example?

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Question 603872: If I am only given the solution how do I find the quadratic equation? I know that I have to work in reverse but I am not sure how to begin. could you help with an example?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
for example:
a quadratic equation having the given numbers as solutions -3, -1
f(x) = a(x+3)(x+1)
If a=1
then
f(x) = x^2+4x+3 would be one such EQ