Question 119
Prove that for any positive integer $n$ at least one coefficient of the polynomial
$$
(x^4 + x^3 - 3x^2 + x + 2)^n
$$
is negative.
$$
(x^4 + x^3 - 3x^2 + x + 2)^n
$$
is negative.
MathNet 2022-part-04 — 197 problems (EN–VI) Question 119
Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)