Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2003 — Part 03 Question 69

Math Olympiad Vault · MathNet 2003 — Part 03

Question 69

Find all polynomials $P(x)$ with real coefficients, satisfying the relation
$$
(x^3 + 3x^2 + 3x + 2)P(x - 1) = (x^3 - 3x^2 + 3x - 2)P(x)
$$
for every real number $x$.