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determine the minimum degree that an algebraic equation can assume knowing that it admits 2 as a double root and i as a tr

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Determine the minimum degree that an algebraic equation can assume knowing that it admits 2 as a double root and -i as a triple root

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Answer to a math question Determine the minimum degree that an algebraic equation can assume knowing that it admits 2 as a double root and -i as a triple root

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Since -i is a triple root, this function should also have i as triple root as complex roots always occur in conjugate pairs. Moreover 2 is a double root of the equation. Therefore, the min. degree possible is 2+3+3 = 8

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