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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 $f(x)$?

 Apr 4, 2019
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If you presented your question properly you might have more hope of a timely response.

 Apr 4, 2019

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