Difference between revisions of "Polynomial"
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where the coefficients <math>a_{ij}</math> are elements of some [[ring]]. Polynomials in 3 or more variables are defined similarly. | where the coefficients <math>a_{ij}</math> are elements of some [[ring]]. Polynomials in 3 or more variables are defined similarly. | ||
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[[Category:Algebra]] | [[Category:Algebra]] | ||
Revision as of 03:01, July 6, 2008
A polynomial in one variable 
is a function 
of the form:
In elementary mathematics, the coefficients 
are typically chosen to be real or complex numbers. However, it makes sense to define a polynomial with coefficients in any ring.
The largest power of that appears in the polynomial is called the degree of the polynomial.
- Example:
is a degree 3 polynomial with integer coefficients.
A polynomial in two variables 
is, similarly, a finite sum
,
where the coefficients 
are elements of some ring. Polynomials in 3 or more variables are defined similarly.
