SOLUTION: Will you please help me write cubic function with all rational roots. Thanks!

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Question 838425: Will you please help me write cubic function with all rational roots. Thanks!
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
  1. Pick any three rational numbers. Let's call them n%5B1%5D, n%5B2%5D and n%5B3%5D.
  2. Write a function of the form: f%28x%29+=+%28x-n%5B1%5D%29%28x-n%5B2%5D%29%28x-n%5B3%5D%29
  3. Multiply out the factors. (You can use FOIL on the first two factors. Then multiply each term of the result by each term of the third factor.)
  4. Add like terms, if any.