cho f (x) = x^8 -101x^7 + 101x^6 - 101x^5 +..... +101x^2 -101x + 25 Tính f(100)

`f (x) = x^8 -101x^7 + 101x^6 - 101x^5 +..... +101x^2 -101x + 25`

        `=x^8 -101x^7-x^7+100x^6+...+x^2-100x-x+25`

        `=x^7(x-100)-x^6(x-100)+...+x(x-100)-x+25`

Thay `x` vào `f(x)`, ta có:

`f(100)=x^7(100-100)-x^6(100-100)+...+x(100-100)-100+25`

          `=-75`

Vậy `f(x)=-75`