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Everything about Factor theorem

Polynomial zeros related to linear factors

In algebra, the factor theorem connects polynomial factors with polynomial roots. Specifically, if is a (univariate) polynomial, then is a factor of if and only if. The theorem is a special case of the polynomial remainder theorem. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Factor theoremA 5-minute orientation
  2. Skim a recent paper: Multi-factor user authentication and key agreement scheme for wireless sensor networks using Chinese remainder theoremInfluential work since 2022
  3. Pick up a classic book: Advanced number theoryThe most-reprinted book on the subject
  4. Read the landmark paper: Factor Proportions and the Heckscher-Ohlin TheoremCited 115 times
  5. Go sideways: Hölder's theoremA closely related topic
  6. Go sideways: Zero-product propertyA closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. Factorization of polynomials
  2. Proofs

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics