Question 4
Find all polynomials $P(x)$ with integer coefficients and leading coefficient 1 such that there are infinitely many irrational real numbers $\alpha$ for which $P(\alpha)$ is a positive integer.
The supplied source has no question point values. Each problem uses 1 editorial point for import compatibility; this is not an official scoring scale.
The supplied source has no question point values. Each problem uses 1 editorial point for import compatibility; this is not an official scoring scale.