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If f(x) = x^4 - 2 x^3 + 3 x^2 - ax +b a ...

If `f(x) = x^4 - 2 x^3 + 3 x^2 - ax +b` a polynomial such that when it is divided by (x-1) and (x+1); the remainders are 5 and 19 respectively. Determine the remainder when f(x) is divided by (x-2).

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