{[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 "B8 - Factorizations - Degree 3 and 4 - Difficult " ] [auteurs_aplusix "JF Nicaud " ] [description_aplusix "Examples : " (2x-3)(4x-1)^[2]-(4x+3)(2x-3);x^[4]-10x^[2]+9 " " ] [discipline_aplusix "Math " ] [theme_aplusix "Factorization " ] [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 ax^[3]+bx^[2]+cx {and {natAnd -3<=a<=3 a<>0} {natAnd -5<=b<=5 b<>0} {natAnd -5<=c<=5 c<>0} {natAnd b^[2]-4ac>0 b^[2]-4ac<40} {number 10}}} " " ] [exercices_aplusix -x^[3]+4x^[2]+5x " " -x^[3]+x^[2]+x " " 3x^[3]-3x^[2]-2x " " -2x^[3]+x^[2]+3x " " -x^[3]-x^[2]+3x " " 3x^[3]-2x^[2]-x " " -x^[3]-2x^[2]+3x " " -2x^[3]-x^[2]+4x " " -2x^[3]+3x^[2]-x " " 2x^[3]-3x^[2]-3x " " " " ] [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 ax^[3]+bx^[2]+cx {and {natAnd -3<=a<=3 a<>0} {natAnd -5<=b<=5 b<>0} {natAnd -5<=c<=5 c<>0} {natAnd b^[2]-4ac<0 b^[2]-4ac<40} {number 10}}} " " ] [exercices_aplusix x^[3]+2x^[2]+5x " " 2x^[3]-x^[2]+5x " " -x^[3]-x^[2]-5x " " 2x^[3]-2x^[2]+2x " " -x^[3]-3x^[2]-5x " " 2x^[3]-2x^[2]+5x " " -2x^[3]-2x^[2]-2x " " -2x^[3]-3x^[2]-3x " " x^[3]+x^[2]+5x " " 3x^[3]+2x^[2]+3x " " " " ] [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 2 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for (ax+b)(cx+d)^[2]-(ux+v)(ax+b) {and [1<=a<=4] {natAnd -5<=b<=-1 b<>0} [2<=c<=5] {natAnd -4<=d<=4 d<>0} [1<=u<=4] [1<=v<=4] [{hcf (a;b)}=1] [d^[2]-v<>0] {number 10}}} " " ] [exercices_aplusix " " (x-5)(4x+3)^[2]-(4x+3)(x-5) " " (2x-3)(4x-1)^[2]-(4x+3)(2x-3) " " (3x-5)(2x+4)^[2]-(4x+2)(3x-5) " " (x-3)(2x+1)^[2]-(3x+2)(x-3) " " (x-2)(3x-1)^[2]-(4x+2)(x-2) " " (3x-4)(2x-1)^[2]-(2x+4)(3x-4) " " (3x-5)(5x+3)^[2]-(x+1)(3x-5) " " (3x-4)(5x-3)^[2]-(4x+3)(3x-4) " " (x-5)(5x+1)^[2]-(3x+3)(x-5) " " (2x-5)(3x+4)^[2]-(2x+3)(2x-5) " " " " ] [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+b)(cx+d)((b-1)x-c-1)+x(ax+b)(ux+v) {and [1<=a<=4] {natAnd 2<=b<=5 b<>0} [2<=c<=5] {natAnd -4<=d<=4 d<>0} [1<=u<=4] [1<=v<=4] [{hcf (a;b)}=1] [c(d-1)-u<>0] {number 10}}} " " ] [exercices_aplusix (x+5)(4x+1)(4x-5)+x(x+5)(4x+1) " " (x+5)(2x-1)(4x-3)+x(x+5)(2x+4) " " (x+2)(2x+1)(x-3)+x(x+2)(2x+3) " " (3x+5)(4x+4)(4x-5)+x(3x+5)(3x+1) " " (3x+2)(5x-1)(x-6)+x(3x+2)(4x+1) " " (x+4)(2x-3)(3x-3)+x(x+4)(4x+1) " " (3x+2)(5x+4)(x-6)+x(3x+2)(x+2) " " (3x+2)(4x-4)(x-5)+x(3x+2)(2x+3) " " (x+5)(3x+1)(4x-4)+x(x+5)(2x+1) " " (3x+4)(4x-4)(3x-5)+x(3x+4)(2x+1) " " " " ] [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 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for x^[4]-b^[2] {and [2<=b<=5] {number 10}}} " " ] [exercices_aplusix x^[4]-16 " " x^[4]-9 " " x^[4]-4 " " x^[4]-25 " " " " ] [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 ax^[4]-bx^[2] {and [2<=a<=5] [2<=b<=5] [a<>b] {number 10}}} " " ] [exercices_aplusix " " 4x^[4]-3x^[2] " " 2x^[4]-5x^[2] " " 2x^[4]-3x^[2] " " 5x^[4]-4x^[2] " " 3x^[4]-4x^[2] " " 4x^[4]-2x^[2] " " 3x^[4]-5x^[2] " " 2x^[4]-4x^[2] " " 4x^[4]-5x^[2] " " 5x^[4]-3x^[2] " " " " ] [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^[2]-a^[2])(x^[2]-b^[2]) {and [1<=a<=5] [1<=b<=4] [a<>b] {number 10}}} " " ] [exercices_aplusix " " x^[4]-10x^[2]+9 " " x^[4]-29x^[2]+100 " " x^[4]-13x^[2]+36 " " x^[4]-10x^[2]+9 " " x^[4]-26x^[2]+25 " " x^[4]-5x^[2]+4 " " x^[4]-17x^[2]+16 " " x^[4]-20x^[2]+64 " " x^[4]-20x^[2]+64 " " x^[4]-34x^[2]+225 " " " " ] [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 (x^[2]-a^[2])(x^[2]+b^[2]) {and [1<=a<=5] [1<=b<=4] [a<>b] {number 10}}} " " ] [exercices_aplusix " " x^[4]+15x^[2]-16 " " x^[4]+8x^[2]-9 " " x^[4]-7x^[2]-144 " " x^[4]+5x^[2]-36 " " x^[4]-15x^[2]-16 " " x^[4]+12x^[2]-64 " " x^[4]+7x^[2]-144 " " x^[4]-9x^[2]-400 " " x^[4]-12x^[2]-64 " " x^[4]-3x^[2]-4 " " " " ] [commentaires_phase " " ] [liste_exercices ()]}]}