Ononot — If P(x) = x^4 + ax^3 + bx^2 + cx + d has i and 1+i as roots,

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Polynomialshard

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If $P(x) = x^4 + ax^3 + bx^2 + cx + d$ has $i$ and $1+i$ as roots, and $P(x)$ has real coefficients, find the sum of all roots.