Word.ws English Dictionary

rational root theorem

rational root theorem proper noun: a theorem which states a constraint on rational solutions of a polynomial equation with integer coefficients.

Proper noun

the rational root theorem

  1. A theorem which states a constraint on rational solutions of a polynomial equation with integer coefficients.
    • The rational root theorem states that if the rational number p#47;q is a root of the polynomial equation a#95;nxⁿ#43;a#95;#123;n-1#125;x#123;n-1#125;#43;#92;cdots#43;a#95;0#61;0, with a#95;0,#92;ldotsa#95;n#92;in#92;mathbb#123;Z#125;, then p#92;verta#95;0 and q#92;verta#95;n.
    • is irreducible over Q [x].2015, Marlow Anderson, Todd Feil, A First Course in Abstract Algebra, Taylor & Francis (CRC Press), 3rd Edition, page 50, Use the Rational Root Theorem 5.6 to argue that x³+x+7
    Synonyms:
    rational root test, rational zeros theorem, rational zeros test, p/q theorem

rational root theorem meaning in Tamil

rational root theorem in Tamil

விகிதமுறு மூலத்தேற்றம்

Examples of rational root theorem in a sentence

  • We demonstrate how to use the rational root theorem to prove the irrationality of many numbers.2017, Martin H. Weissman, An Illustrated Theory of Numbers, American Mathematical Society, page 84:
  • The rational root theorem has you create a list of possible rational roots using the lead coefficient and constant in the polynomial equation.2018, Mary Jane Sterling, Pre-Calculus For Dummies, Wiley, page 85:

Synonyms of rational root theorem

  • rational root test
  • rational zeros theorem
  • rational zeros test
  • p/q theorem

Questions about rational root theorem

What does rational root theorem mean?
Rational root theorem means a theorem which states a constraint on rational solutions of a polynomial equation with integer coefficients.
What is rational root theorem in Tamil?
Rational root theorem in Tamil is விகிதமுறு மூலத்தேற்றம். See Rational root theorem meaning in Tamil.
How do you use rational root theorem in a sentence?
We demonstrate how to use the rational root theorem to prove the irrationality of many numbers.
What part of speech is rational root theorem?
Rational root theorem is a proper noun.

Words near rational root theorem in the dictionary

  1. rational functions
  2. rational horizon
  3. rational horizons
  4. rational number
  5. rational numbers
  6. rational root theorem
  7. rational selfishness
  8. rational symptom
  9. rational symptoms
  10. rationale
  11. rationales

Source and license

Adapted from Wiktionary: rational root theorem (page history and authors); rational root theorem (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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