# Polynomial Basics

In these lessons, we will learn

• some polynomial vocabulary,
• how to add and subtract polynomials.

This part of a series of free Basic Algebra Lessons

### Polynomial Vocabulary

Before adding and subtracting polynomials or multiplying polynomials, it is important to know the definition of a polynomial and polynomial vocabulary. Important polynomial definitions include terms including monomial, the degree of a monomial, polynomial degree and standard form.

Adding polynomials and subtracting polynomials is essentially combining like terms of polynomial expressions. When adding and subtracting polynomials, they can either be arranged vertically or grouped according to degree. A knowledge of polynomial vocabulary is important before adding and subtracting polynomials. Multiplying monomials and binomials is another type of operation with polynomials.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 