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What is the definition of polynomials?

Updated: 2/18/2022
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βˆ™ 7y ago

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adj.

Of, relating to, or consisting of more than two names or terms.

n.

  1. A taxonomic designation consisting of more than two terms.
  2. Mathematics.
    1. An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers. For example, x2 − 5x + 6 and 2p3q + y are polynomials. Also called multinomial.
    2. An expression of two or more terms.
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Silas Gibson

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βˆ™ 2y ago
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βˆ™ 14y ago

A polynomial is an algebraic expression that consists of a sum of terms.

For example, 2x3y + 3xy - 5xy3 + 2xy2 + x + 4 is a polynomial that consists of six terms

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Q: What is the definition of polynomials?
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Why do you think the definition for polynomials is so restrictive?

The definition for polynomials is very restrictive. This is because it will give more information. It excludes radicals, negative exponents, and fractional exponents. When these are included, the expression becomes rational and not polynomial.


Polynomials have factors that are?

Other polynomials of the same, or lower, order.


Is two terms a polynomial if the definition says more than two terms. Is a bi-nomial not part of the set of polynomials?

Two terms is a binomial. More than two terms is a polynomial. Binomials are not part of the set of polynomials.


How polynomials and non polynomials are alike?

they have variable


What are polynomials that have factors called?

Reducible polynomials.


What has the author P K Suetin written?

P. K. Suetin has written: 'Polynomials orthogonal over a region and Bieberbach polynomials' -- subject(s): Orthogonal polynomials 'Series of Faber polynomials' -- subject(s): Polynomials, Series


What is a jocobi polynomial?

In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials.


What is the process to solve multiplying polynomials?

what is the prosses to multiply polynomials


Where did RenΓ© Descartes invent polynomials?

Descartes did not invent polynomials.


How alike the polynomials and non polynomials?

how alike the polynomial and non polynomial


What is the proper definition of spline?

In the mathematical subfield of numerical analysis, a spline curve is a curved defined polynomials portions. A spline can also be a portion of wood or metal.


What has the author Richard Askey written?

Richard Askey has written: 'Three notes on orthogonal polynomials' -- subject(s): Orthogonal polynomials 'Recurrence relations, continued fractions, and orthogonal polynomials' -- subject(s): Continued fractions, Distribution (Probability theory), Orthogonal polynomials 'Orthogonal polynomials and special functions' -- subject(s): Orthogonal polynomials, Special Functions