Với `x=100 => x- 100=0`
Ta có:
`f(x) =x^8 - 101x^7 + 101x^6 -...+101x^2 -101x+1`
`f(x) =x^8 - (100+1)x^7 + (100+1)x^6 -...+(100+1)x^2 - (100+1)x +1`
`f(x)= x^8 - 100x^7 - x^7 +100x^6 + x^6-...+100x^2 + x^2 -100x -x +1`
`f(x) = x^7(x-100) - x^6(x-100) +...+ x(x-100) - x+1`
`f(x) =x^7 . 0 -x^6.0 +...+ x.0 - x+1`
`f(x) = -x+1`
`=> f(100) = -100+1=-99`
Vậy `f(100)=-99`