Ononot — Consider the polynomial P(x) = x^4 + ax^3 + bx^2 + cx + d. I

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Polynomialshard

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Consider the polynomial $P(x) = x^4 + ax^3 + bx^2 + cx + d$ . If $P(1)=1, P(i)=0,$ and $P(1+i)=0$ , and the coefficients are real, what is $P(x)$ ?