{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Ti mes" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {SECT 1 {PARA 3 "" 0 "" {TEXT -1 11 "Exercice 34" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 3 "1) " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "restart :assume(lambda,real,mu,real):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "P:=(X,lambda,mu)->X^5+lambda*X^3+mu*X^2+1;Q:=x->X^2+X+1; " }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PGf*6%%\"XG%'lambdaG%#muG6\"6$%)op eratorG%&arrowGF*,**$)9$\"\"&\"\"\"F3*&9%F3)F1\"\"$F3F3*&9&F3)F1\"\"#F 3F3F3F3F*F*F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"QGf*6#%\"xG6\"6$% )operatorG%&arrowGF(,(*$)%\"XG\"\"#\"\"\"F1F/F1F1F1F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "rem(P(X,1,4),Q(X),X); " }{TEXT -1 41 "le reste dans la division euclidienne de " }{XPPEDIT 18 0 "P;" "6# %\"PG" }{TEXT -1 5 " par " }{XPPEDIT 18 0 "Q;" "6#%\"QG" }{TEXT -1 9 " lorsque " }{XPPEDIT 18 0 "lambda = 1;" "6#/%'lambdaG\"\"\"" }{TEXT -1 4 " et " }{XPPEDIT 18 0 "mu = 4;" "6#/%#muG\"\"%" }{TEXT -1 15 " ; \+ le polyn\364me " }{XPPEDIT 18 0 "Q;" "6#%\"QG" }{TEXT -1 15 " ne divis e pas " }{XPPEDIT 18 0 "P;" "6#%\"PG" }{TEXT -1 21 " pour ces valeurs \+ de " }{XPPEDIT 18 0 "lambda;" "6#%'lambdaG" }{TEXT -1 4 " et " } {XPPEDIT 18 0 "mu;" "6#%#muG" }{TEXT -1 3 ". " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&\"\"$!\"\"*&\"\"&\"\"\"%\"XGF(F%" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 22 "quo(P(X,1,4),Q(X),X); " }{TEXT -1 44 "le quo tient dans la division euclidienne de " }{XPPEDIT 18 0 "P;" "6#%\"PG" }{TEXT -1 5 " par " }{XPPEDIT 18 0 "Q;" "6#%\"QG" }{TEXT -1 1 " " }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,**$)%\"XG\"\"$\"\"\"F(*$)F&\"\"#F(!\" \"F&F(\"\"%F(" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 2 "2)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "rem(P(X,lambda,mu),Q(X),X); " }{XPPEDIT 18 0 "Q; " "6#%\"QG" }{TEXT -1 8 " divise " }{XPPEDIT 18 0 "P;" "6#%\"PG" } {TEXT -1 9 " lorsque " }{XPPEDIT 18 0 "lambda;" "6#%'lambdaG" }{TEXT -1 4 " et " }{XPPEDIT 18 0 "mu;" "6#%#muG" }{TEXT -1 12 " valent -1. " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&,&%$mu|irG!\"\"\"\"\"F'F(%\"XG F(F(F&F'%(lambda|irGF(" }}}}}{MARK "0" 0 }{VIEWOPTS 1 1 0 3 4 1802 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }