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2022 SSMO Team Round Problems/Problem 10

Revision as of 11:15, 25 December 2023 by Rounak iitr (talk | contribs) (→‎Problem)

Problem

If $\alpha, \beta, \gamma$ are the roots of the polynomial $x^3-2x^2-4$, find \[(\alpha^3+\beta\gamma)(\beta^3+\gamma\alpha)(\gamma^3+\alpha\beta).\]

Solution

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