Polynomials, Terms and Degree
For any non-negative integer n, xn is called a power of x (read x-to-the-power-n).
We call n the exponent of the power. We define x0 =1.
We assume that you are familiar with the basic rules of exponents.
Before continuing, test your knowledge of the rules of exponents. See computer notation for how to enter your answers.
A polynomial in x is the result of adding constant multiples of powers of x. Here are some examples:
(a constant polynomial)
Each product in the sum is called a term of the polynomial.
The largest exponent of the terms is called the degree of the polynomial.
We define the degree of a constant polynomial to be zero.
In the above examples, the polynomials are of degrees 0, 1, 2, and 3 respectively.
A polynomial of degree 1 is also known as a linear polynomial. A polynomial of degree 2 is called a quadratic polynomial and a polynomial of degree 3 is called a cubic polynomial.
Find the degree of the following polynomials:
Determine whether or not the following functions are polynomials: