Question

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

Answer 1

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