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DK-GEORGMOHR 1994 Problem 3

    The third-degree polynomial P(x)=x3+2x2−3x−5P(x)=x^3+2x^2-3x-5 has the three roots aa , bb and cc . State a third degree polynomial with roots 1a\frac{1}{a} , 1b\frac{1}{b} and 1c\frac{1}{c} .

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 1994 official paper, page 1.

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