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Polynomial vs Nonpolynomial - What's the difference?

polynomial | nonpolynomial |

In algebra terms the difference between polynomial and nonpolynomial

is that polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_n x^n + a_{n-1}x^{n-1} + ... + a_0 x^0 while nonpolynomial is an expression that is not a polynomial.

polynomial

English

(wikipedia polynomial)

Adjective

(-)
  • (algebra) Able to be described or limited by a .
  • (taxonomy) of a polynomial name or entity

    • Noun

    (en noun)
  • (algebra) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_n x^n + a_{n-1}x^{n-1} + ... + a_0 x^0.
  • (taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.

    • Derived terms

    * polynomial complexity * polynomial equation * polynomial sequence * polynomial interpolation

    See also

    * monomial ----

    nonpolynomial

    English

    Adjective

    (-)
  • (algebra) Not polynomial.

    • Noun

    (en noun)
  • (algebra) An expression that is not a polynomial.