If f(x)= vmatrix 1 & x & x+1 2x & x(x-1) & x(x+1) 3x(x-1) & 2(x-1)(x-2) & x(x+1)(x-1) vmatrix then what is f(-1)+f(0)+f(1) equal to?

NDA 2021 Mathematics question

f(x)=

then what is equal to?

Answer: (A)

Evaluate the determinant at each value. For : the second row is , so . For : the third row is $(3·1·0,\ 2·0·(-1),\

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Question ID VK-033511