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Question

If $f(x) = \begin{vmatrix} x^3 - x & a + x & b + x \\ x - a & x^2 - x & c + x \\ x - b & x - c & 0 \end{vmatrix}$, then

$f(-1) = 0$

$f(1) = 0$

$f(2) = 0$

$f(0) = 0$

Solution

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