- #1
castor28
Gold Member
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$f(x)$ is a degree 10 polynomial such that $f(p)=q$, $f(q)=r$, $f(r)=p$, where $p$, $q$, $r$ are integers with $p<q<r$.
Show that not all the coefficients of $f(x)$ are integers.
Show that not all the coefficients of $f(x)$ are integers.