Q .     Let a be `alpha` repeated root of a quadratic equation `f(x) = 0` and `A(x), B(x)` and `C(x)` be polynomials of degree `3, 4`, and `5` respectively, then show that
` | ( A(x) , B(x) , C(x) ),(A(alpha) , B(alpha) , C(alpha) ),( A'(alpha) , B' (alpha) , C'(alpha) )|`
is divisible by `f(x)`, where prime `(')` denotes the derivatives.

JEE 1984
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