已知XX+X+1=0,求XXX+2XX+2X+3的值
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已知XX+X+1=0,求XXX+2XX+2X+3的值已知XX+X+1=0,求XXX+2XX+2X+3的值已知XX+X+1=0,求XXX+2XX+2X+3的值2X^2+X+1=0x^2+x=-1,x^2
已知XX+X+1=0,求XXX+2XX+2X+3的值
已知XX+X+1=0,求XXX+2XX+2X+3的值
已知XX+X+1=0,求XXX+2XX+2X+3的值
2
X^2+X+1=0
x^2+x=-1,x^2=-x-1
x^3+2x^2+2x+3
=x^3+2(x^2+x)+3
=x^3-2+3
=x^3+1
=(x+1)(x^2-x+1)
=(x+1)(-x-1-x+1)
=(x+1)(-2x)
=-2x^2-2x
=-2(x^2+x)
=-2*-1
=2
x3+2x2+2x+3
=x(x2+x+1)+x2+x+1+2
=2
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