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The polynomials f(x)=x^4 - 2x^3 + 3x^2 -...

The polynomials` f(x)=x^4 - 2x^3 + 3x^2 -ax + b ` when divided by `(x-1)`and `(x+1)` leaves the remainders 5 and 19 respectively. Find the values of a and b.. Hence, find the remainder when `f(x)` is divided by (x-2)`.

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