Nếu \(x=25\)
\(\Rightarrow\left\{{}\begin{matrix}26=x+1\\27=x+2\\47=2x-3\\77=3x+2;50=2x;24=x-1\end{matrix}\right.\) ( * )
Thay ( * ) vào C , ta được :
\(C=x^7-\left(x+1\right)x^6+\left(x+2\right)x^5-\left(2x-3\right)x^4-\left(3x+2\right)x^3+2x.x^2+x-\left(x-1\right)\)
\(=x^7-x^7-x^6+x^6+2x^5-2x^5+3x^4-3x^4-2x^3+2x^3+x-x+1\)
\(=1\)
Vậy \(C=1\) tại \(x=25\)