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2022 SSMO Team Round Problems/Problem 10

Revision as of 12:06, 14 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== If <math>p, q, r</math> are the roots of the polynomial <math>x^3-2x^2-4</math>, find<cmath>(p^3+qr)(q^3+pr)(r^3+pq).</cmath> ==Solution==")

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Problem

If $p, q, r$ are the roots of the polynomial $x^3-2x^2-4$ , find $(p^3+qr)(q^3+pr)(r^3+pq).$

Solution

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