\(f\left(x\right)=m^2\left(x-1\right)+x-3< 0\)
Bpt nghiệm đúng \(\forall x\in\left[-5;2\right]\)
\(\left\{{}\begin{matrix}f\left(-5\right)< 0\\f\left(2\right)< 0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}-6m^2-8< 0\\m^2-1< 0\end{matrix}\right.\)
\(\Leftrightarrow-1< m< 1\)
Vì \(m\in Z\Rightarrow m=0\)