4La factorisation d'un trinme Cette mthode est fort utile pour factoriser certains trinmes de la forme  . La factorisation d'un trinme : Ce type de factorisation se fait en deux tapes : 1. On dcompose le deuxime terme en une somme de termes semblables (m et n) dont le produit est gal celui des premier et le troisime termes du trinme. Il faut donc que  et  . 2. On remplace le terme bx par l'addition des deux termes trouvs (mx et nx ). On effectue une mise en vidence double sur le polynme quatre termes qui en rsulte. i.e. sur  Ex. Soit , le trinme factoriser . 1. On trouve deux nombres (m et n) tels que et  . Ces deux nombres sont 9 et 2. 2. On remplace 11x par les termes 9x et 2x. Le polynme s'crit donc . On effectue ensuite une mise en vidence double :  La thorie se retrouve dans le manuel Scnarios aux pages 96 99. 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