若x²+x-3=0,则x³+2x²-2x+2007=?A.2010 B.2011 C.-2010 D.-2011
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若x²+x-3=0,则x³+2x²-2x+2007=?A.2010 B.2011 C.-2010 D.-2011
若x²+x-3=0,则x³+2x²-2x+2007=?
A.2010 B.2011 C.-2010 D.-2011
若x²+x-3=0,则x³+2x²-2x+2007=?A.2010 B.2011 C.-2010 D.-2011
x³+2x²-2x+2007=x³+x²-3x-x²+3x+2x²-2x+2007
=x(x²+x-3)+x²+x-3+2010
=2010
选A
x²+x-3=0,所以,x*(x²+x-3)=0,x³+x²-3x=0,在对后面的算式变形,x³+2x²-2x+2007=x³+x²-3x+x²+x+2007=0+x²+x+2007=2010