Tính `f(100) => x= 100 => x - 100 =0`
Ta có: `f(x) = x^8 - 101x^7 + 101x^6 - 101x^5 +...+ 101x^2 - 101x + 25`
`f(x) = x^8 - (100+1)x^7 + (100+1)x^6 - (100+1)x^5 +...+(100+1)x^2 - (100+1)x + 25`
`f(x) = x^8 - 100x^7 - x^7 + 100x^6 + x^6 - 100x^5 - x^5 +...+100x^2 + x^2 - 100x - x + 25`
`f(x) = x^7(x - 100) - x^7(x - 100) + x^5(x - 100) +....+x(x - 100) - x+ 25`
`f(x) = x^7 . 0 - x^7. 0 + ...+ x . 0 - x + 25`
`f(100) = -100 + 25`
`f(100) = -75`
Vậy `f(100) = -75`