Question 109
Find all the polynomials $P(t)$ of a variable, which satisfy
$$
P\left(x^{2}-y^{2}\right)=P(x+y) P(x-y)
$$
for all real numbers $x$ and $y$.
$$
P\left(x^{2}-y^{2}\right)=P(x+y) P(x-y)
$$
for all real numbers $x$ and $y$.
MathNet 2002 — Part 01 Question 109
Math Olympiad Vault · MathNet 2002 — Part 01