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2023 WSMO Team Round Problems/Problem 6

Revision as of 15:37, 2 May 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== A quartic real polynomial <math>f(x)</math> satisfying <math>f(3+2i) = 0</math> has 3 distinct roots. If the sum of the three roots is <math>12,</math> find their...")
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Problem

A quartic real polynomial $f(x)$ satisfying $f(3+2i) = 0$ has 3 distinct roots. If the sum of the three roots is $12,$ find their product.

Solution

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