\(x^3+x^{^{ }2}-x+1=0\)
\(\Leftrightarrow x^2\left(x+1\right)-\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x^2-1\right)=0\)
\(\left[{}\begin{matrix}x+1=0\Leftrightarrow x=-1\\x^2-1=0\Leftrightarrow x^2=1\Leftrightarrow x=1\end{matrix}\right.\)
Chúc bạn học tốt!