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If the polynomials f(x)=x^(3)+kx-3andg(x...

If the polynomials `f(x)=x^(3)+kx-3andg(x)=x^(3)-kx^(2)+2` be divided by (x - 1) and (x - 2) respectively, the respective remainders are `r_(1)andr_(2)`. Also, if `2r_(1)+r_(2)=0`, then find the value of k.

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