Question

on dividing x^3-3x^2+x+2by a polynomial g(x),the quotient and the remainder were x-2and -2x+4.find g(x)

Answer 1

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Answer 2

$( {x}^{3} - 3 {x}^{2} + x + 2) = (x - 2) \times gx + ( - 2x + 4) \\ (x - 2)gx = {x}^{3} -3 {x}^{2} + 3x - 2 \\ gx = {x}^{2} - x + 1$
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