Algebraic vs. Polynomial — What's the Difference?

Of, relating to, or designating algebra.

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7.

Designating an expression, equation, or function in which only numbers, letters, and arithmetic operations are contained or used.

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

Indicating or restricted to a finite number of operations involving algebra.

A taxonomic designation consisting of more than two terms.

Of, or relating to, algebra.

An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to nonnegative integral powers. For example, x2 - 5x + 6 and 2p3q + y are polynomials. Also called multinomial.

Containing only numbers, letters, and arithmetic operators.

An expression of two or more terms.

Which is a root of some polynomial whose coefficients are rational.

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 $a\_n\; x^n\; +\; a\_\{n-1\}x^\{n-1\}\; +\; ...\; +\; a\_0\; x^0$. Category:en:Polynomials

Whose every element is a root of some polynomial whose coefficients are rational.

(taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.

Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.

(algebra) Able to be described or limited by a polynomial.

Of or pertaining to algebra; using algebra; according to the laws of algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings; algebraic geometry.

(taxonomy) of a polynomial name or entity

Progressing by constant multiplicatory factors; - of a series of numbers. Contrasted to arithmetical.

An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.

Of or relating to algebra;

Containing many names or terms; multinominal; as, the polynomial theorem.

Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.

A mathematical expression that is the sum of a number of terms

Having the character of a polynomial;