Question 73
Does there exist a polynomial $p(x)$ with integer coefficients such that
$$
p(\sqrt{2}) = \sqrt{2} \quad \text{and} \quad p(2\sqrt{2}) = 2\sqrt{2} + 2?
$$
$$
p(\sqrt{2}) = \sqrt{2} \quad \text{and} \quad p(2\sqrt{2}) = 2\sqrt{2} + 2?
$$
MathNet 2022-part-01 — 197 problems (EN–VI) Question 73
Math Olympiad Vault · MathNet 2022-part-01 — 197 problems (EN–VI)