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Secondaire 4 • 3a

Le polynôme m^4+5m^3+5m^2+25m

 peut être décomposé en un produit de trois facteurs irréductibles.

Quelle est la somme de ces trois facteurs?

Je dois résoudre cette équation et je ne comprends pas la question (ps : ^= exposé)

j'arrive à décomposer en 3 facteurs mais je ne sais pas comment faire la somme

merci!

Ariane

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Mathématiques
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Explications (1)

  • Explication d'Alloprof

    Explication d'Alloprof

    Cette explication a été donnée par un membre de l'équipe d'Alloprof.

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    Équipe Alloprof • 3a

    Bonjour Ariane!

    Merci de faire appel à nos services 😉

    Pour la deuxième étape, il suffit simplement de prendre les trois facteurs et de créer une nouvelle équation où on les additionne.

    Par exemple, si à la fin de la première étape tu obtiens l'équation suivante

    $$ x^3 \cdot (x^3 +4) \cdot (x +1) $$

    alors on prendrait les trois différents facteurs individuellement pour les additionner comme ceci:

    $$ x^3 + (x^3 +4) + (x +1) $$

    J'espère que cela t'aidera! N'hésite pas à nous réécrire!

    Éveline

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