Question 158
Determine the number of quadratic polynomials $P(x)$ with integral coefficients such that the following inequalities hold for all $x \in \mathbb{R}$:
$$
x^2 + 2x - 2023 \lt P(x) \lt 2x^2.
$$
$$
x^2 + 2x - 2023 \lt P(x) \lt 2x^2.
$$
MathNet 2024-part-01 — 168 problems (EN–VI) Question 158
Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)