Question 9
Does there exist a polynomial $P(x)$ with integral coefficients such that
1. $P(\sqrt[3]{25}+\sqrt[3]{5})=220 \sqrt[3]{25}+284 \sqrt[3]{5}$ ?
2. $P(\sqrt[3]{25}+\sqrt[3]{5})=1184 \sqrt[3]{25}+1210 \sqrt[3]{5}$ ?
1. $P(\sqrt[3]{25}+\sqrt[3]{5})=220 \sqrt[3]{25}+284 \sqrt[3]{5}$ ?
2. $P(\sqrt[3]{25}+\sqrt[3]{5})=1184 \sqrt[3]{25}+1210 \sqrt[3]{5}$ ?