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Polynomialshard
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If the polynomial P(x)=x4+ax3+bx2+cx+dP(x) = x^4 + ax^3 + bx^2 + cx + dP(x)=x4+ax3+bx2+cx+d is divided by x2+1x^2 + 1x2+1, the remainder is x+1x + 1x+1. What is the value of P(i)P(i)P(i)?