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Quotient theorem The quotient of two polynomials P(a) and S(x), discarding any polynomial remainder Relation between polynomial, quotient and remainder is given by P(2) = S(x) * Q(x) + R(2) where Q(2) is the quotient and R(2) is the remainder For ex: P(x) = x4 + x3 + x2 + x + 1 S(x) = x2 – 1 Then quotient and remainder are Q(x) = x2 + x + 2 R(x) = 2x + 3

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