on dividing x3-3x2+x+2 by a polynomial g(x) the quotient and reminder were x-2 and-2x+4 respectively find g(x)
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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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Dividend = p(x) = x3 - 3x2 + x + 2 Quotient = q(x) = x - 2 Remainder = r(x) = 2x + 4 By division algorithm, p(x) = q(x) g(x) + r(x) g(x) = p(x) - r(x)q(x)
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