SOLUTION: Write a quadratic function having the given solutions: 6, -2

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Question 249236: Write a quadratic function having the given solutions: 6, -2
Found 2 solutions by Edwin McCravy, tutorcecilia:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Write a quadratic function having the given zeros: 6, -2

This is a problem where you are given the answers and you
want to find the question.  First I'll give you the function,
f(x) = x²-4x-12 and solve it, then show you how to get it: 

x²-4x-12=0
(x-6)(x+2)=0
x-6=0  x+2=0
  x=6    x=-2

Now here's how to get that function.  Just reverse the steps
above and you'll see:

  x=6    x=-2
x-6=0  x+2=0
(x-6)(x+2)=0
x²-4x-12=0

So the function is f(x) = x²-4x-12.

Edwin

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
x=6, x=-2
(x-6)(x+2)
%28x%5E2%2B2x-6x-12%29
%28x%5E2-4x-12%29