Đáp án :
`f(100)=1`
Giải thích các bước giải :
Sửa đề :
`f(x)=x^(10)-101x^9+101x^8-...-101x+101`
`=>f(x)=(x^(10)-100x^9)-(x^9-100x^8)+...+(x^2-100x)-(x-100)+1`
`=>f(x)=x^9.(x-100)-x^8.(x-100)+...+x.(x-100)-(x-100)+1`
`=>f(100)=x^9.(100-100)-x^8.(100-100)+...+x.(100-100)-(100-100)+1`
`=>f(100)=x^(9).0-x^(8).0+...+x.0-0+1`
`=>f(100)=0-0+...+0-0+1`
`=>f(100)=1`
Vậy : `f(100)=1`