Question 8
Find all prime numbers $p$ such that the polynomial
$$
q(x) = 2x^3 - 2p x^2 + (1-p)x + p
$$
has at least one rational root.
$$
q(x) = 2x^3 - 2p x^2 + (1-p)x + p
$$
has at least one rational root.
MathNet 2008-part-04 — 165 problems (EN–VI) Question 8
Math Olympiad Vault · MathNet 2008-part-04 — 165 problems (EN–VI)