x的3次方+x的2次方+x+1=0左右两边同时乘以x的4次方所以：x^(4+3)+x^(4+2)+x^(4+1)+x^(4+0)=0同理可得：x^(4n+3)+x^(4n+2)+x^(4n+1)+x^(4n+0)=0所以原式的每四项的和为0所以原式就=x^2004
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