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A polynomial is an [[Algebra|algebraic]] mathematical object. It is any element of a polynomial ring, that is a [[Ring_(mathematics)|ring]] R with one or more [[Variable|variables]] adjoined. Note that R need not be [[Commutativity|commutative]], nor have [[Identity|identity]], nor be [[Associativity|associative]].  

A polynomial is an [[Algebra|algebraic]] mathematical object. It is any element of a polynomial ring, that is a [[Ring_(mathematics)|ring]] R with one or more [[variable]]s adjoined. Note that R need not be [[Commutativity|commutative]], nor have [[identity]], nor be [[Associativity|associative]].  

Examples of polynomials include 0, x and 5xy². Every element of R is also a polynomial, a [[Constant|constant]].

Examples of polynomials include 0, x and 5xy². Every element of R is also a polynomial, a [[constant]].

Polynomials can be evaluated to return an element of the ring R.

Polynomials can be evaluated to return an element of the ring R.

Some [[Algorithm|algorithms]] are said to perform in polynomial time. There are algorithms which can factor polynomials in polynomial time.

Some [[algorithm]]s are said to perform in polynomial time. There are algorithms which can factor polynomials in polynomial time.

[[Category:Algebra]]

[[Category:Algebra]]