{[Aplusix {[modele aplusix_modele] [noms_prop (objet statut_aplusix sorte_activite_aplusix titre_aplusix auteurs_aplusix description_aplusix discipline_aplusix theme_aplusix niveau_aplusix age_aplusix mots_cles_aplusix domaine_calcul domaine_bouton_calcul niv_alg_dyn nombre_maxi_exercices exercices_aleatoires les_langues langage_repertoire lexique_multilingue commentaires_widget nombre_phases_aplusix)] [objet Aplusix] [titre_aplusix "B7 - Factorisations - Degr~00e9 3 - Sans discriminant - Moyen " ] [auteurs_aplusix "JF Nicaud " ] [description_aplusix "Exemples : " x^[3]-27;x^[3]-4x^[2]+4x " " ] [discipline_aplusix "Math " ] [theme_aplusix "Factorisation " ] [niveau_aplusix " " ] [age_aplusix " " ] [mots_cles_aplusix " " ] [langue_aplusix " " ] [nombre_phases_aplusix 8] [phases (Aplusix_Phase1 Aplusix_Phase2 Aplusix_Phase3 Aplusix_Phase4 Aplusix_Phase5 Aplusix_Phase6 Aplusix_Phase7 Aplusix_Phase8)] [nombre_maxi_exercices " " ] [exercices_aleatoires non] [statut_aplusix 2] [domaine_calcul nombres_reels] [domaine_bouton_calcul calculs_7] [niv_alg_dyn 1] [les_langues " " ] [langage_repertoire " " ] [lexique_multilingue " " ] [commentaires_widget " " ] [sorte_activite_aplusix libre]}] [Aplusix_Phase1 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase1] [numero_phase 1] [titre_phase " " ] [explication_phase " " ] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix " " {for c^[3]x^[3]+3c^[2]x^[2]+3cx+1 {and [1<=c<=3]}} " " ] [exercices_aplusix " " 27x^[3]+27x^[2]+9x+1 " " x^[3]+3x^[2]+3x+1 " " 8x^[3]+12x^[2]+6x+1 " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase2 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase2] [numero_phase 2] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for x^[3]+3cx^[2]+3c^[2]x+c^[3] {and [-3<=c<=-1]}} " " ] [exercices_aplusix " " x^[3]-6x^[2]+12x-8 " " x^[3]-3x^[2]+3x-1 " " x^[3]-9x^[2]+27x-27 " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase3 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase3] [numero_phase 3] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for ax^[3]+bx^[2] {and {natAnd 2<=a<=4 a<>0} {natAnd -5<=b<=5 b<>0} {number 10}}} " " ] [exercices_aplusix " " 4x^[3]-2x^[2] " " 3x^[3]-2x^[2] " " 2x^[3]+4x^[2] " " 3x^[3]-4x^[2] " " 4x^[3]+3x^[2] " " 2x^[3]+3x^[2] " " 2x^[3]-5x^[2] " " 3x^[3]+5x^[2] " " 3x^[3]-5x^[2] " " 4x^[3]-5x^[2] " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase4 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase4] [numero_phase 4] [nombre_maxi_exercices 2 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for ax^[3]+bx^[2]+cx {and {natAnd 1<=a<=4 a<>0} [{natAnd -25<=b<=25 {abs [b]}>0}] [{natAnd -5<=c<=5 {abs [c]}>0}] [b^[2]-4ac=0] {number 10}}} " " ] [exercices_aplusix " " x^[3]-4x^[2]+4x " " 4x^[3]-4x^[2]+x " " 3x^[3]+6x^[2]+3x " " 4x^[3]+4x^[2]+x " " 4x^[3]-8x^[2]+4x " " x^[3]+2x^[2]+x " " x^[3]-2x^[2]+x " " 3x^[3]-6x^[2]+3x " " 2x^[3]+4x^[2]+2x " " 4x^[3]+8x^[2]+4x " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase5 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase5] [numero_phase 5] [nombre_maxi_exercices 2 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for a^[2]x^[3]-b^[2]x {and {natAnd 1<=a<=3 a<>0} [{natAnd -5<=b<=5 {abs [b]}>0}] {number 10}}} " " ] [exercices_aplusix " " 9x^[3]-25x " " 9x^[3]-9x " " x^[3]-9x " " x^[3]-x " " x^[3]-25x " " 4x^[3]-4x " " x^[3]-4x " " 9x^[3]-4x " " 9x^[3]-16x " " 4x^[3]-9x " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase6 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase6] [numero_phase 6] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for a^[2]x^[3]+b^[2]x {and {natAnd 1<=a<=3 a<>0} [{natAnd -5<=b<=5 {abs [b]}>0}] {number 10}}} " " ] [exercices_aplusix " " 4x^[3]+25x " " x^[3]+9x " " x^[3]+x " " 4x^[3]+4x " " x^[3]+16x " " 9x^[3]+x " " 9x^[3]+25x " " 4x^[3]+16x " " 9x^[3]+16x " " 4x^[3]+x " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase7 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase7] [numero_phase 7] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for x^[3]+kc^[3] {and [1<=c<=3] {natAnd -1<=k<=1 k<>0}}} " " ] [exercices_aplusix " " x^[3]+8 " " x^[3]-27 " " x^[3]-1 " " x^[3]+27 " " x^[3]+1 " " x^[3]-8 " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase8 {[modele aplusix_phase_modele] [noms_prop (objet numero_phase nombre_maxi_exercices exercices_aleatoires type_exercice consigne_exercice commentaires_phase reserve_aplusix exercices_aplusix)] [objet Aplusix_Phase8] [numero_phase 8] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for a^[3]x^[3]+kc^[3] {and [1<=a<=3] [1<=c<=3] [a<>c] {natAnd -1<=k<=1 k<>0}}} " " ] [exercices_aplusix " " x^[3]+8 " " x^[3]-27 " " 8x^[3]+27 " " 27x^[3]+8 " " 27x^[3]-8 " " 27x^[3]+1 " " 8x^[3]-27 " " 8x^[3]+1 " " 27x^[3]-1 " " 8x^[3]-1 " " x^[3]-8 " " x^[3]+27 " " " " ] [commentaires_phase " " ] [liste_exercices ()]}]}