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2024 SSMO Speed Round Problems/Problem 3

Revision as of 15:41, 2 May 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== The polynomial <math>x^3 - 15x^2 + 4x + 4</math> has distinct real roots <math>r</math>, <math>s</math>, and <math>t</math>. Find the value of <cmath>\left|(r^2 +...")
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Problem

The polynomial $x^3 - 15x^2 + 4x + 4$ has distinct real roots $r$, $s$, and $t$. Find the value of \[\left|(r^2 + s^2 + t^2)(rst)\right|.\]

Solution

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