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Let f(x) g(x) and h(x) be polynomials in R[x]. Show if gcd(f(x), g(x)) = 1 and...

Let f(x) g(x) and h(x) be polynomials in R[x].

Show if gcd(f(x), g(x)) = 1 and gcd(f(x), h(x)) = 1, then gcd(f(x), g(x)h(x)) = 1.

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