{[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 "B3 - Factorizations - Medium " ] [auteurs_aplusix "JF Nicaud " ] [description_aplusix "Example : " (5+4x)(2x-1)+(5+4x)^[2] " " ] [discipline_aplusix "Math " ] [theme_aplusix "Factorization " ] [niveau_aplusix " " ] [age_aplusix " " ] [mots_cles_aplusix " " ] [langue_aplusix " " ] [nombre_phases_aplusix 10] [phases (Aplusix_Phase1 Aplusix_Phase2 Aplusix_Phase3 Aplusix_Phase4 Aplusix_Phase5 Aplusix_Phase6 Aplusix_Phase7 Aplusix_Phase8 Aplusix_Phase9 Aplusix_Phase10)] [nombre_maxi_exercices " " ] [exercices_aleatoires oui] [statut_aplusix 2] [domaine_calcul nombres_reels] [domaine_bouton_calcul calculs_5] [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 b^[2]-2abx+a^[2]x^[2] {and [2<=a<=5] [2<=b<=5] [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix " " 4-12x+9x^[2] " " 4-20x+25x^[2] " " 9-12x+4x^[2] " " 25-30x+9x^[2] " " 16-40x+25x^[2] " " 9-24x+16x^[2] " " 9-30x+25x^[2] " " 16-24x+9x^[2] " " 25-20x+4x^[2] " " 25-40x+16x^[2] " " " " ] [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(ax+b)+(cx+d)(kax+kb) {and [1<=a<=4] {natAnd -5<=b<=5 b<>0} [1<=c<=4] {natAnd -4<=d<=4 d<>0} [2<=k<=4] [a<>c] [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix " " x(x-3)+(3x+1)(4x-12) " " x(2x-5)+(4x-1)(8x-20) " " x(4x-3)+(2x-1)(16x-12) " " x(x-1)+(3x-1)(2x-2) " " x(x+3)+(4x+4)(2x+6) " " x(4x-3)+(x+1)(12x-9) " " x(x-3)+(3x+3)(4x-12) " " x(x+3)+(3x+2)(3x+9) " " x(x-3)+(4x+2)(2x-6) " " x(x+5)+(3x+3)(3x+15) " " " " ] [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 (cx+d)(ax+b)-x(kax+kb) {and [1<=a<=4] {natAnd -5<=b<=5 b<>0} [2<=c<=5] {natAnd -4<=d<=4 d<>0} [2<=k<=4] [a<>c] [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix (3x-4)(4x-1)-x(16x-4) " " (3x+2)(4x+1)-x(8x+2) " " (5x+2)(x-5)-x(3x-15) " " (5x+1)(x+4)-x(3x+12) " " (4x-1)(3x+2)-x(9x+6) " " (5x+3)(x+1)-x(3x+3) " " (4x+3)(3x-4)-x(9x-12) " " (2x+3)(4x-5)-x(12x-15) " " (2x-1)(x+4)-x(4x+16) " " (3x+2)(4x-1)-x(16x-4) " " ] [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 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for (kb-kax)(cx+d)-x(b-ax) {and [1<=a<=4] {natAnd 1<=b<=5 b<>0} [2<=c<=5] {natAnd -4<=d<=4 d<>0} [2<=k<=4] [a<>c] [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix (4-8x)(3x-1)-x(1-2x) " " (8-4x)(4x+4)-x(2-x) " " (15-6x)(3x-2)-x(5-2x) " " (4-12x)(2x-1)-x(1-3x) " " (8-6x)(5x+3)-x(4-3x) " " (2-8x)(3x+4)-x(1-4x) " " (4-4x)(3x+3)-x(1-x) " " (20-16x)(2x-3)-x(5-4x) " " (20-16x)(5x+1)-x(5-4x) " " (20-8x)(4x-2)-x(5-2x) " " " " ] [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 (ax-b)(cx+d)+(mx+c-1)(b-ax) {and [1<=a<=4] {natAnd 1<=b<=5 b<>0} [2<=c<=5] {natAnd -4<=d<=4 d<>0} [1<=m<=5] {natAnd a<>c a=m} [{frac [c] [m]}<>{frac [d] [c-1]}] [ac-am<>0] [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix (x-3)(5x-2)+(x+4)(3-x) " " (x-1)(3x+1)+(x+2)(1-x) " " (x-1)(5x+3)+(x+4)(1-x) " " (2x-1)(5x-3)+(2x+4)(1-2x) " " (2x-3)(3x+4)+(2x+2)(3-2x) " " (2x-3)(3x-2)+(2x+2)(3-2x) " " (4x-1)(2x+1)+(4x+1)(1-4x) " " (x-4)(5x-2)+(x+4)(4-x) " " (x-1)(3x-3)+(x+2)(1-x) " " (x-3)(4x+1)+(x+3)(3-x) " " " " ] [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+b)(cx+d)+(b+ax)(mx+a-1) {and [2<=a<=5] {natAnd -5<=b<=-1 b<>0} [2<=c<=5] {natAnd -4<=d<=-1 d<>0} [1<=m<=5] {natAnd a<>c a=m} [{frac [c] [m]}<>{frac [d] [a-1]}] [ac+am<>0] [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix (4x-5)(3x-1)+(-5+4x)(4x+3) " " (5x-3)(3x-2)+(-3+5x)(5x+4) " " (3x-5)(4x-2)+(-5+3x)(3x+2) " " (2x-3)(5x-4)+(-3+2x)(2x+1) " " (3x-4)(2x-2)+(-4+3x)(3x+2) " " (4x-1)(5x-3)+(-1+4x)(4x+3) " " (2x-1)(4x-1)+(-1+2x)(2x+1) " " (3x-2)(4x-3)+(-2+3x)(3x+2) " " (4x-1)(3x-3)+(-1+4x)(4x+3) " " (4x-3)(3x-1)+(-3+4x)(4x+3) " " " " ] [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 (cx+d)(kax+kb)-(ax+b)(mx+a-1) {and [2<=a<=5] {natAnd -5<=b<=-1 b<>0} [2<=c<=5] {natAnd -4<=d<=-1 d<>0} [1<=m<=5] [2<=k<=4] {natAnd a<>c a=m} [{frac [c] [m]}<>{frac [d] [a-1]}] [ac-am<>0] [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix " " (5x-3)(8x-4)-(2x-1)(2x+1) " " (3x-4)(10x-8)-(5x-4)(5x+4) " " (5x-2)(12x-16)-(3x-4)(3x+2) " " (4x-2)(12x-8)-(3x-2)(3x+2) " " (4x-3)(6x-3)-(2x-1)(2x+1) " " (2x-4)(16x-20)-(4x-5)(4x+3) " " (2x-2)(6x-10)-(3x-5)(3x+2) " " (2x-2)(12x-4)-(3x-1)(3x+2) " " (3x-3)(16x-12)-(4x-3)(4x+3) " " (2x-4)(10x-4)-(5x-2)(5x+4) " " " " " " ] [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^[2]x^[2]+b^[2]-2abx {and [2<=a<=5] [2<=b<=5] [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix " " 25x^[2]+4-20x " " 16x^[2]+9-24x " " 4x^[2]+9-12x " " 25x^[2]+9-30x " " 9x^[2]+16-24x " " 16x^[2]+25-40x " " 9x^[2]+25-30x " " 4x^[2]+25-20x " " 9x^[2]+4-12x " " 25x^[2]+16-40x " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase9 {[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_Phase9] [numero_phase 9] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix " " {for (ax+b)^[2]-(d-cx)(ax+b) {and [2<=a<=5] {natAnd -5<=b<=-1 b<>0} [2<=c<=5] {natAnd 1<=d<=5 d<>0} [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix " " (2x-1)^[2]-(5-4x)(2x-1) " " (4x-3)^[2]-(3-4x)(4x-3) " " (3x-1)^[2]-(3-5x)(3x-1) " " (5x-4)^[2]-(5-3x)(5x-4) " " (3x-4)^[2]-(1-4x)(3x-4) " " (2x-3)^[2]-(2-5x)(2x-3) " " (3x-4)^[2]-(5-5x)(3x-4) " " (5x-4)^[2]-(3-3x)(5x-4) " " (3x-5)^[2]-(3-4x)(3x-5) " " (3x-2)^[2]-(3-5x)(3x-2) " " " " ] [commentaires_phase " " ] [liste_exercices ()]}] [Aplusix_Phase10 {[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_Phase10] [numero_phase 10] [nombre_maxi_exercices 1 " " ] [exercices_aleatoires oui] [type_exercice operator_factorize] [consigne_exercice " " ] [reserve_aplusix {for (b+ax)(cx+d)+(b+ax)^[2] {and [2<=a<=5] {natAnd 2<=b<=5 b<>0} [2<=c<=5] {natAnd -4<=d<=-1 d<>0} [{hcf (a;b)}=1] {number 10}}} " " ] [exercices_aplusix " " (3+2x)(3x-1)+(3+2x)^[2] " " (5+4x)(2x-1)+(5+4x)^[2] " " (4+3x)(4x-2)+(4+3x)^[2] " " (5+2x)(5x-1)+(5+2x)^[2] " " (4+5x)(4x-1)+(4+5x)^[2] " " (5+4x)(4x-1)+(5+4x)^[2] " " (2+5x)(3x-3)+(2+5x)^[2] " " (2+3x)(2x-2)+(2+3x)^[2] " " (2+5x)(5x-2)+(2+5x)^[2] " " (2+5x)(4x-2)+(2+5x)^[2] " " " " ] [commentaires_phase " " ] [liste_exercices ()]}]}