Question 31
Find all pairs of integers $(a, b)$ so that each of the two cubic polynomials
$$
x^{3}+a x+b \text{ and } x^{3}+b x+a
$$
has all the roots to be integers.
$$
x^{3}+a x+b \text{ and } x^{3}+b x+a
$$
has all the roots to be integers.
MathNet 2021 — Part 06 Question 31
Math Olympiad Vault · MathNet 2021 — Part 06