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Polynomial vs Exponential - What's the difference?

polynomial | exponential |

As adjectives the difference between polynomial and exponential

is that polynomial is able to be described or limited by a polynomial while exponential is relating to an exponent.

As nouns the difference between polynomial and exponential

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 exponential is any function that has an exponent as an independent variable.

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 ----

    exponential

    English

    (wikipedia exponential)

    Adjective

    (head)
  • Relating to an exponent.
  • (mathematics) Expressed in terms of a power of e.
  • In modern English, used to describe a high or rapid rate of change.

    • Derived terms

    * exponentially * exponential growth * exponential object

    Antonyms

    * nonexponential

    Noun

    (en noun)
  • (mathematics) Any function that has an exponent as an independent variable.