Foundations

Degrees

Each term in the polynomial has a degree. In single variable polynomials the degree is the value of the exponent. In the example:

4x3 + 2x2 - 3x + 1
4x3 has a degree of 3 and is called a cubic term or 3rd order term,

2x2 has a degree of 2 and is called the quadratic term or 2nd order term,

-3x has a degree of 1 and is called the linear term or 1st order term,

1 has a degree of 0 and is called the constant.

The degree of a polynomial is the same as the degree of the term with the largest exponent. Since the largest exponent in our example is 3, the polynomial is of degree 3, also called a "cubic" polynomial.