2. Calculations in K (X )
2.1 Decomposition into simple elements
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Lemma 3. Let I be an irreducible polynomial of K [X ], of degree d. If P and Q are two elements of K [X ], Q not being divisible by I, there exists a unique pair (U, V ) of polynomials, with deg (U ) < d, such that : P = UQ + IV
Proof.
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Calculations in K (X )
Calculations in K (X )
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