Polynomials
Source:
July 27, 2008
algebrapolynomial
Problem Statement
Let be a positive integer. Find all polynomials
P(x) \equal{} a_0 \plus{} a_1 x \plus{} \cdots \plus{} a_n x^n,
where the are real, which satisfy the equation
P(P(x)) \equal{} \{ P(x) \}^k