设m²+m-2=0,求m³+3m²+2000的值,速度,在线等!

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m^2+m-2=0 m= -2 or m=1 带入 m=-2时 2004 m=1时 2004所以值都是 2004
m^3+3m^2+2000=m(m^2+m-2)+2m^2+2m+2000=m(m^2+m-2)+2(m^2+m-2+2)+2000
=(m+2)(m^2+m-2)+4+2000=0(m+2)+2004=2004

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