Question 169
Does there exist a polynomial $P(x)$ with integer coefficients such that $P(1+\sqrt[3]{2}) = 1+\sqrt[3]{2}$ and $P(1+\sqrt{5}) = 2+3\sqrt{5}$?
MathNet 2017-part-07 — 172 problems (EN–VI) Question 169
Math Olympiad Vault · MathNet 2017-part-07 — 172 problems (EN–VI)