Monic polynomial in Z[x] has root 'a' in Q then 'a' is in Z and a|(constant term of polynomial)

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Let f(x) be monic polynomial. If f(x) has a root in Q then a is in Z and a divides constant term Let f(x) be monic polynomial. If f(x) has a root in Q then a is in Z and a divides constant term
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