Polynomials

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Polynomials are expressions summing powers with zero (constant polynomials), one (univariate polynomials), two (bivariate polynomials), three (trivariate polynomials), or more variables. For example, $\scriptstyle 4xy^{2}+7x-y+1\,$ is a polynomial (e.g. a bivariate quadrinomial). The monomials 12 × 7 and $\scriptstyle \pi ^{2}\,$ are constant polynomials. Polynomials may have one term (monomials), two terms (binomials), three terms (trinomials), etc.

Classification of polynomials by degree

The degenerate

0. constant polynomials (degree 0)

and

1. Linear polynomials (degree 1)
2. Quadratic polynomials (degree 2)
3. Cubic polynomials (degree 3)
4. Quartic polynomials (degree 4)
5. Quintic polynomials (degree 5)
6. Sextic polynomials (degree 6)
7. Septic polynomials (degree 7)
8. Octic polynomials (degree 8)
9. Nonic polynomials (degree 9)
10. Decic polynomials (degree 10)
11. Hendecic polynomials (degree 11)
12. Dodecic polynomials (degree 12)

See also

• Special polynomials
• Rational functions