Suppose \( f(x) \) is a polynomial of degree four, having critical points at \( -1,0,1 \). If \( \mathrm{T}=\{\mathrm{x}…

Suppose \( f(x) \) is a polynomial of degree four, having critical points at \( -1,0,1 \). If \( \mathrm{T}=\{\mathrm{x} \in \mathrm{R} \mid \mathrm{f}(\mathrm{x})=\mathrm{f}(0)\} \), then the sum of squares of all the elements of \( T \) is :

[JEE Main 2020, 3 Sep (Shift 2)]