已知x^4+x^3+x^3+x^2+x^1+1=0,求x^100+x^99+x^98+x^97+x^96的值

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/08 21:14:55

已知x^4+x^3+x^3+x^2+x^1+1=0,求x^100+x^99+x^98+x^97+x^96的值

x^4+x^3+x^2+x+1=0,
x^100+x^99+x^98+x^97+x^96
=x^96(x^4+x^3+x^2+x+1)=x^96*0=0

提取出x^96
答案为0