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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 5xy<sup>2</sup>. Every element of R is also a polynomial, a [[Constant|constant]].
Examples of polynomials include 0, x and 5xy<sup>2</sup>. 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]]