若xx+x+1+0,求x^7+2x^6+x^5+x^4+x^3+xx+1的值

来源：学生作业帮助网编辑：作业帮时间：2024/04/28 02:11:21

若x*x+x+1+0,求x^7+2x^6+x^5+x^4+x^3+x*x+1的值
若x*x+x+1+0,求x^7+2x^6+x^5+x^4+x^3+x*x+1的值

若x*x+x+1+0,求x^7+2x^6+x^5+x^4+x^3+x*x+1的值
x*x+x+1=0
(x-1)(x*x+x+1)=0
x^3-1=0
x^3=1
x^7+2x^6+x^5+x^4+x^3+x*x+1
=x^6*x+2x^6+x^3*x^2+x^3*x+x^3+x*x+1
=x+2+x*x+x+1+x^2+1
=2x^2+2x+4
=2(x^2+x+1)+2
=2*0+2
=2

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