Question

一道数学题:如果1+x+x2+x3=0,求x+x2+x3+x4+x5+x6+x7+x8的值

Answer 1

x+x2+x3+x4+x5+x6+x7+x8

=(x+x2+x3+x4)+(x5+x6+x7+x8)

=（1+x+x2+x3)*x+(1+x+x2+x3)*x5

=0