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On dividing the polynomial f(x)=x^3-3x^2...

On dividing the polynomial `f(x)=x^3-3x^2+x+2` by a polynomial `g(x)` , the quotient `q(x)` and remainder `r(x)` where `q(x)=x-2` and `r(x)=-2x+4` respectively. Find the polynomial `g(x)` .

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