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26-10-2016
Mathematics

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find the polynomial p(x) with roots 1+i and 1-i

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26-10-2016

Required root is p(x) = (x - (1 + i))(x - (1 - i)) = (x - 1 - i)(x - 1 + i) = x^2 - x + ix - x + 1 - i - ix + i + 1 = x^2 - 2x + 2

P(x) = x^2 - 2x + 2

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