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?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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?      Log On


   

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