Ononot — If P(x) = x^4 + ax^3 + bx^2 + cx + d is a polynomial with re

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Polynomialshard

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If $P(x) = x^4 + ax^3 + bx^2 + cx + d$ is a polynomial with real coefficients such that $P(i) = 0$ and $P(1+i) = 0$ , what is the coefficient $a$ ?