Question 80
The polynomial $p(x)$ with integer coefficients satisfies the equality
$$p(\sqrt{2} + \sqrt{3}) = \sqrt{2} - \sqrt{3}.$$
a) Find all possible values of $p(\sqrt{2} - \sqrt{3})$.
b) Give an example of at least one polynomial $p(x)$ that satisfies the condition.
$$p(\sqrt{2} + \sqrt{3}) = \sqrt{2} - \sqrt{3}.$$
a) Find all possible values of $p(\sqrt{2} - \sqrt{3})$.
b) Give an example of at least one polynomial $p(x)$ that satisfies the condition.