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MathNet 2025 — 50 problems — Part 01 Question 25

Math Olympiad Vault · MathNet 2025 — 50 problems — Part 01

Question 25

Prove that the value of the expression
$$
x^4 - 2x^3 - 88x^2 + 90x + 2025
$$
is positive regardless of the value of $x$ on the real line.