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
问题描述:
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
答
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