On dividing `x^3-3x^2+x+2`by a polynomial the quotient and remainder w – InterviewSolution

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1.	On dividing `x^3-3x^2+x+2`by a polynomial the quotient and remainder were `x-2`and `-2x+4`, respectively. Find g(x).
Answer» Divident=`(x^3-3x^2+x+2)` Quotient=(x-2) Remainder=(-2x+9) Divisor=g(x) =Divident=Divisorquotient+remainder =`(x^3-3x^2+x+2)=g(x)(x-2)+(-2x+4)` after solving this equation g(x)=`x^2-x+1`

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