已知代数式M²+M-1=0,那么代数式M³+2M²+2003=

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已知代数式M²+M-1=0,那么代数式M³+2M²+2003=

M²+M-1=0
M²+M=1
M³+2M²+2003
=M(M²+M+M)+2003
=M(M+1)+2003
=M²+M+2003
=1+2003
=2004

M²+M-1=0
M²+M=1
M³+2M²+2003
=M³+M²+M²+2003
=M(M²+M)+M²+2003
=M+M²+2003
=1+2003
=2004