Question 118
Prove that there exists a polynomial $f(x)$ with integer coefficients such that:
(1) $f(x) = 0$ has no rational real root.
(2) For every positive integer $n$ there is an integer $m$ such that $f(m)$ is a multiple of $n$.
(1) $f(x) = 0$ has no rational real root.
(2) For every positive integer $n$ there is an integer $m$ such that $f(m)$ is a multiple of $n$.