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31 December, 21:33

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

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  1. 31 December, 21:58
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    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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