In mathematics, a **polynomial** is an expression consisting of variables (or indeterminates) and coefficients that involves only addition, subtraction and multiplication and non-negative integer exponents. An example of a polynomial of a single variable or indeterminate, , would be which is a Quadratic Polynomial.

Polynomials appear widely in Mathematics and Science. For example, Polynomials are used to form **Polynomial Equations**, which encode a wide range of problems, from elementary word problems to advanced problems in the sciences. They are also used to define **Polynomial Functions**, whih are used in advanced areas of Physics and Chemistry as well as Social Science and even Calculus. In advanced math, Polynomials are used for Advanced Algebra and Algebraic Geometry.

## Arithmetic of Polynomials Edit

Polynomials may be added according to the associative law of addition (grouping all their terms into a single sum), possibly followed by reordering and combining like terms. For example if

then

which can be simplified to

To work out the product of Polynomials into a sum of terms, the Distributive Property is constantly applied, which results in one term of each Polynomial being multiplied by every term of the other. For example if