COURS polynome SMPC S1

Polynômes à coefficients réels ou complexes n Racines, dérivation, factorisation, formule de Taylor pour les polynômes, polynômes irréductibles dans R et C,
COURS polynome SMPC S1

cours N°1

cours N°2

cours N°3

POLYNÔMES

L'anneau des polynômes
Définition de l'ensemble des polynômes
Polynôme formel
Valuation et degré d'un polynôme
Structures algébriques sur les polynômes
Addition de polynômes
Multiplication d'un polynôme par un élément de lK
Multiplication de polynômes
Notion d'indéterminée
Fonction polynomial
Arithmétique dans JK[X]
Division euclidienne
Divisibilité dans JK[X]
Division selon les puissances croissantes
Dérivation des polynômes
Définition d'un polynôme dérivé
Dérivées successives - formule de Taylor
Racines d'un polynôme
Définition d'une racine .
Multiplicité d'une racine .
Multiplicité d'une racine et polynômes dérivés

exomaroc

Commentaires

Enregistrer un commentaire

window['__wavt'] = 'AOuZoY5Qem4GVEoQLivwYswyjptUsHjIbQ:1729555675496';_WidgetManager._Init('//www.blogger.com/rearrange?blogID\x3d7953030349935675467','//www.exomaroc.com/2023/09/cours-polynome-smpc-s1.html','7953030349935675467'); _WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '7953030349935675467', 'title': 'exomaroc', 'url': 'https://www.exomaroc.com/2023/09/cours-polynome-smpc-s1.html', 'canonicalUrl': 'https://www.exomaroc.com/2023/09/cours-polynome-smpc-s1.html', 'homepageUrl': 'https://www.exomaroc.com/', 'searchUrl': 'https://www.exomaroc.com/search', 'canonicalHomepageUrl': 'https://www.exomaroc.com/', 'blogspotFaviconUrl': 'https://www.exomaroc.com/favicon.ico', 'bloggerUrl': 'https://www.blogger.com', 'hasCustomDomain': true, 'httpsEnabled': true, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': 'UA-131160742-1', 'encoding': 'UTF-8', 'locale': 'fr', 'localeUnderscoreDelimited': 'fr', 'languageDirection': 'ltr', 'isPrivate': false, 'isMobile': false, 'isMobileRequest': false, 'mobileClass': '', 'isPrivateBlog': false, 'isDynamicViewsAvailable': true, 'feedLinks': '\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22exomaroc - Atom\x22 href\x3d\x22https://www.exomaroc.com/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22exomaroc - RSS\x22 href\x3d\x22https://www.exomaroc.com/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22exomaroc - Atom\x22 href\x3d\x22https://www.blogger.com/feeds/7953030349935675467/posts/default\x22 /\x3e\n\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22exomaroc - Atom\x22 href\x3d\x22https://www.exomaroc.com/feeds/4407859699381205267/comments/default\x22 /\x3e\n', 'meTag': '', 'adsenseClientId': 'ca-pub-9818090777160731', 'adsenseHostId': 'ca-host-pub-1556223355139109', 'adsenseHasAds': false, 'adsenseAutoAds': false, 'boqCommentIframeForm': true, 'loginRedirectParam': '', 'view': '', 'dynamicViewsCommentsSrc': '//www.blogblog.com/dynamicviews/4224c15c4e7c9321/js/comments.js', 'dynamicViewsScriptSrc': '//www.blogblog.com/dynamicviews/89d9ab82ea562629', 'plusOneApiSrc': 'https://apis.google.com/js/platform.js', 'disableGComments': true, 'interstitialAccepted': false, 'sharing': {'platforms': [{'name': 'Obtenir le lien', 'key': 'link', 'shareMessage': 'Obtenir le lien', 'target': ''}, {'name': 'Facebook', 'key': 'facebook', 'shareMessage': 'Partager sur Facebook', 'target': 'facebook'}, {'name': 'BlogThis!', 'key': 'blogThis', 'shareMessage': 'BlogThis!', 'target': 'blog'}, {'name': 'Twitter', 'key': 'twitter', 'shareMessage': 'Partager sur Twitter', 'target': 'twitter'}, {'name': 'Pinterest', 'key': 'pinterest', 'shareMessage': 'Partager sur Pinterest', 'target': 'pinterest'}, {'name': 'E-mail', 'key': 'email', 'shareMessage': 'E-mail', 'target': 'email'}], 'disableGooglePlus': true, 'googlePlusShareButtonWidth': 0, 'googlePlusBootstrap': '\x3cscript type\x3d\x22text/javascript\x22\x3ewindow.___gcfg \x3d {\x27lang\x27: \x27fr\x27};\x3c/script\x3e'}, 'hasCustomJumpLinkMessage': false, 'jumpLinkMessage': 'Lire la suite', 'pageType': 'item', 'postId': '4407859699381205267', 'postImageThumbnailUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5kQCeD5FaXHQwx9dLrjIDK2j9Wwn3DlTcNB3-oni-8V8L_UifwphD-nJKSt7pNkPmVDY8-vldK7p265UzwIKoIqYzHpIy7830JEfDVD44dB2Qv4X7ZhvDgVWtS5RiDOvkJ7hrQ2ZP3mSA417dMiIv_phUwDAH9bYLA-XAO_UfjbQSkL9KFCJCPr-Vjhf5/s72-w640-c-h372/kokljju.PNG', 'postImageUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5kQCeD5FaXHQwx9dLrjIDK2j9Wwn3DlTcNB3-oni-8V8L_UifwphD-nJKSt7pNkPmVDY8-vldK7p265UzwIKoIqYzHpIy7830JEfDVD44dB2Qv4X7ZhvDgVWtS5RiDOvkJ7hrQ2ZP3mSA417dMiIv_phUwDAH9bYLA-XAO_UfjbQSkL9KFCJCPr-Vjhf5/w640-h372/kokljju.PNG', 'pageName': 'COURS polynome SMPC S1 ', 'pageTitle': 'exomaroc: COURS polynome SMPC S1 '}}, {'name': 'features', 'data': {}}, {'name': 'messages', 'data': {'edit': 'Modifier', 'linkCopiedToClipboard': 'Lien copi\xe9 dans le presse-papiers\xa0!', 'ok': 'OK', 'postLink': 'Publier le lien'}}, {'name': 'template', 'data': {'name': 'custom', 'localizedName': 'Personnaliser', 'isResponsive': true, 'isAlternateRendering': false, 'isCustom': true}}, {'name': 'view', 'data': {'classic': {'name': 'classic', 'url': '?view\x3dclassic'}, 'flipcard': {'name': 'flipcard', 'url': '?view\x3dflipcard'}, 'magazine': {'name': 'magazine', 'url': '?view\x3dmagazine'}, 'mosaic': {'name': 'mosaic', 'url': '?view\x3dmosaic'}, 'sidebar': {'name': 'sidebar', 'url': '?view\x3dsidebar'}, 'snapshot': {'name': 'snapshot', 'url': '?view\x3dsnapshot'}, 'timeslide': {'name': 'timeslide', 'url': '?view\x3dtimeslide'}, 'isMobile': false, 'title': 'COURS polynome SMPC S1 ', 'description': 'Polyn\xf4mes \xe0 coefficients r\xe9els ou complexes n Racines, d\xe9rivation, factorisation, formule de Taylor pour les polyn\xf4mes, polyn\xf4mes irr\xe9ductib...', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5kQCeD5FaXHQwx9dLrjIDK2j9Wwn3DlTcNB3-oni-8V8L_UifwphD-nJKSt7pNkPmVDY8-vldK7p265UzwIKoIqYzHpIy7830JEfDVD44dB2Qv4X7ZhvDgVWtS5RiDOvkJ7hrQ2ZP3mSA417dMiIv_phUwDAH9bYLA-XAO_UfjbQSkL9KFCJCPr-Vjhf5/w640-h372/kokljju.PNG', 'url': 'https://www.exomaroc.com/2023/09/cours-polynome-smpc-s1.html', 'type': 'item', 'isSingleItem': true, 'isMultipleItems': false, 'isError': false, 'isPage': false, 'isPost': true, 'isHomepage': false, 'isArchive': false, 'isLabelSearch': false, 'postId': 4407859699381205267}}, {'name': 'widgets', 'data': [{'title': 'Math\xe9matiques', 'type': 'HTML', 'sectionId': 'TopPost-sc', 'id': 'HTML4'}, {'title': 'PHYSIQUE', 'type': 'HTML', 'sectionId': 'TopPost-sc', 'id': 'HTML3'}, {'title': 'CHIMIE', 'type': 'HTML', 'sectionId': 'TopPost-sc', 'id': 'HTML5'}, {'title': 'INFORMATIQUE', 'type': 'HTML', 'sectionId': 'TopPost-sc', 'id': 'HTML6'}, {'title': 'exomaroc (en-t\xeate)', 'type': 'Header', 'sectionId': 'logo', 'id': 'Header1'}, {'title': '\u0627\u0644\u0635\u0641\u062d\u0627\u062a', 'type': 'PageList', 'sectionId': 'pages', 'id': 'PageList1'}, {'title': '\u0645\u0648\u0627\u0642\u0639 \u0627\u0644\u062a\u0648\u0627\u0635\u0644 \u0627\u0644\u0627\u062c\u062a\u0645\u0627\u0639\u064a', 'type': 'LinkList', 'sectionId': 'topsocialL', 'id': 'LinkList3'}, {'title': '\u0627\u0644\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629', 'type': 'LinkList', 'sectionId': 'menu', 'id': 'LinkList001'}, {'title': '\u0628\u062d\u062b ...', 'type': 'BlogSearch', 'sectionId': 'searchform', 'id': 'BlogSearch2'}, {'title': '\u0623\u0642\u0633\u0627\u0645 \u0627\u0644\u0648\u0635\u0648\u0644 \u0627\u0644\u0633\u0631\u064a\u0639 (\u0645\u0631\u0628\u0639 \u0627\u0644\u0628\u062d\u062b)', 'type': 'Label', 'sectionId': 'searchform', 'id': 'Label002'}, {'title': 'Articles du blog', 'type': 'Blog', 'sectionId': 'Tempnec', 'id': 'Blog1', 'posts': [{'id': '4407859699381205267', 'title': 'COURS polynome SMPC S1 ', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5kQCeD5FaXHQwx9dLrjIDK2j9Wwn3DlTcNB3-oni-8V8L_UifwphD-nJKSt7pNkPmVDY8-vldK7p265UzwIKoIqYzHpIy7830JEfDVD44dB2Qv4X7ZhvDgVWtS5RiDOvkJ7hrQ2ZP3mSA417dMiIv_phUwDAH9bYLA-XAO_UfjbQSkL9KFCJCPr-Vjhf5/w640-h372/kokljju.PNG', 'showInlineAds': false}], 'footerBylines': [{'regionName': 'footer1', 'items': [{'name': 'author', 'label': '\u0643\u062a\u0628:'}, {'name': 'timestamp', 'label': '-'}, {'name': 'comments', 'label': 'comments'}, {'name': 'icons', 'label': ''}, {'name': 'share', 'label': ''}]}, {'regionName': 'footer2', 'items': [{'name': 'labels', 'label': ''}]}], 'allBylineItems': [{'name': 'author', 'label': '\u0643\u062a\u0628:'}, {'name': 'timestamp', 'label': '-'}, {'name': 'comments', 'label': 'comments'}, {'name': 'icons', 'label': ''}, {'name': 'share', 'label': ''}, {'name': 'labels', 'label': ''}]}, {'title': '', 'type': 'HTML', 'sectionId': 'sidepar', 'id': 'HTML7'}, {'title': 'Libell\xe9s', 'type': 'Label', 'sectionId': 'sidepar', 'id': 'Label1'}, {'title': '\u0625\u0639\u0644\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0642\u0627\u0644 \u0623\u0633\u0627\u0633\u064a', 'type': 'LinkList', 'sectionId': 'PostA3lan', 'id': 'LinkList005'}, {'title': 'BlogArchive', 'type': 'BlogArchive', 'sectionId': 'sitting', 'id': 'BlogArchive400'}, {'title': 'BlogAuthors', 'type': 'Profile', 'sectionId': 'sitting', 'id': 'Profile400'}, {'title': '\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u062a\u0635\u0627\u0644', 'type': 'ContactForm', 'sectionId': 'AddOns', 'id': 'ContactForm200'}]}]); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML4', 'TopPost-sc', document.getElementById('HTML4'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML3', 'TopPost-sc', document.getElementById('HTML3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML5', 'TopPost-sc', document.getElementById('HTML5'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML6', 'TopPost-sc', document.getElementById('HTML6'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HeaderView', new _WidgetInfo('Header1', 'logo', document.getElementById('Header1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_PageListView', new _WidgetInfo('PageList1', 'pages', document.getElementById('PageList1'), {'title': '\u0627\u0644\u0635\u0641\u062d\u0627\u062a', 'links': [{'isCurrentPage': false, 'href': 'https://www.exomaroc.com/p/blog-page_30.html', 'id': '2004772087740908247', 'title': 'CONTACT US'}, {'isCurrentPage': false, 'href': 'https://www.exomaroc.com/p/blog-page_18.html', 'id': '346573347584467506', 'title': '\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0647\u0627\u0645\u0629 \u062d\u0648\u0644 \u0627\u0644\u0625\u0634\u062a\u0631\u0627\u0643 \u0641\u064a \u0627\u0644\u0639\u0631\u0636'}, {'isCurrentPage': false, 'href': 'https://www.exomaroc.com/p/privacy-policy-we-respect-your-privacy.html', 'id': '4726270782237836249', 'title': 'Privacy Policy'}], 'mobile': false, 'showPlaceholder': true, 'hasCurrentPage': false}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList3', 'topsocialL', document.getElementById('LinkList3'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList001', 'menu', document.getElementById('LinkList001'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogSearchView', new _WidgetInfo('BlogSearch2', 'searchform', document.getElementById('BlogSearch2'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label002', 'searchform', document.getElementById('Label002'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'Tempnec', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false, 'lightboxEnabled': true, 'lightboxModuleUrl': 'https://www.blogger.com/static/v1/jsbin/522627618-lbx__fr.js', 'lightboxCssUrl': 'https://www.blogger.com/static/v1/v-css/13464135-lightbox_bundle.css'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML7', 'sidepar', document.getElementById('HTML7'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label1', 'sidepar', document.getElementById('Label1'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList005', 'PostA3lan', document.getElementById('LinkList005'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_BlogArchiveView', new _WidgetInfo('BlogArchive400', 'sitting', document.getElementById('BlogArchive400'), {'languageDirection': 'ltr', 'loadingMessage': 'Chargement\x26hellip;'}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ProfileView', new _WidgetInfo('Profile400', 'sitting', document.getElementById('Profile400'), {}, 'displayModeFull')); _WidgetManager._RegisterWidget('_ContactFormView', new _WidgetInfo('ContactForm200', 'AddOns', document.getElementById('ContactForm200'), {'contactFormMessageSendingMsg': 'Envoi en cours...', 'contactFormMessageSentMsg': 'Votre message a \xe9t\xe9 envoy\xe9.', 'contactFormMessageNotSentMsg': 'Impossible d\x27envoyer le message. Veuillez r\xe9essayer ult\xe9rieurement.', 'contactFormInvalidEmailMsg': 'Veuillez indiquer une adresse e-mail valide.', 'contactFormEmptyMessageMsg': 'Le champ de message doit \xeatre renseign\xe9.', 'title': '\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0627\u062a\u0635\u0627\u0644', 'blogId': '7953030349935675467', 'contactFormNameMsg': 'Nom', 'contactFormEmailMsg': 'E-mail', 'contactFormMessageMsg': 'Message', 'contactFormSendMsg': 'Envoyer', 'contactFormToken': 'AOuZoY4YSwq1E5up4Ip7w1yv7x0mGqL7Jg:1729555675497', 'submitUrl': 'https://www.blogger.com/contact-form.do'}, 'displayModeFull'));

أقسام الوصول السريع (مربع البحث)

COURS polynome SMPC S1