Let f(x) be a quartic polynomial with integer coefficients and four integer roots. Suppose the constant term of f(x) is 6.  (a) Is it possible for x=3 to be a root of f(x)?  (b) Is it possible for x=3 to be a double root of f(x)?  Prove your answers.

 Apr 5, 2018

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 Aug 3, 2018

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