olymmath

NZ-NZMO 2025 Problem 3

    Let P(x)=x3+ax2+bx−8P(x) = x^{3} + ax^{2} + bx - 8 be a polynomial with 3 real roots. Show that a2≥2b+12a^{2} \geq 2b + 12.

    Dataset text NuminaMath olympiads. Quoted with source.

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