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Exist unique polynomials

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Let F be a field and f(x), p(x) ∈ F[x] with p(x) 6= 0. Then there exist unique polynomials q(x) and r(x) such that f(x) = q(x)p(x) + r(x) with r(x) = 0 or deg r(x) deg p(x).

Reference no: EM131049872

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