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in Polynomials by (65.2k points)

On dividing x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and -2x + 4, respectively. Find g(x).

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Best answer

x3 – 3x2 + x + 2 = g(x) × (x – 2) + (-2x + 4) 

g(x) × (x – 2) = x3 – 3x2 + x + 2 – (-2x + 4)

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