7/23/2019 Fractions Ration Nelles Des http://slidepdf.com/reader/full/fractions-ration-nelles-des 1/4 K R C P Q P Q K[X ] Q = 0 Q K(X ) K R P Q P Q F = P Q (P ) − (Q) F (F ) (X 2 −2X+4)(X−2) X 3 ( X− 2) 2 (X 2 −2X+4) X 3 (X−2) 3 − 5 = −2 −∞ K(X ) + × P Q + R S = PS + QR QS P Q × R S = PR QS , X K F = P Q x → F (x) = P (x) Q(x) F K Q F F = P Q ∈ K(X ) α ∈ K α F α P α F α Q R(X ) (X 2 + X + 1)(X − 1) 2 X (X − 2)(X 2 + 1)(X + 1) 4 4 R(X ) F = P Q ∈ K(X ) E G F = E + G (G) < 0. E F P Q