Mathematics » Polynomials II » Add and Subtract Polynomials

# Adding and Subtracting Polynomials Summary

## Key Concepts

• Monomials
• A monomial is a term of the form $$a{x}^{m}$$, where $$a$$ is a constant and $$m$$ is a whole number
• Polynomials
• polynomial—A monomial, or two or more monomials combined by addition or subtraction is a polynomial.
• monomial—A polynomial with exactly one term is called a monomial.
• binomial—A polynomial with exactly two terms is called a binomial.
• trinomial—A polynomial with exactly three terms is called a trinomial.
• Degree of a Polynomial
• The degree of a term is the sum of the exponents of its variables.
• The degree of a constant is 0.
• The degree of a polynomial is the highest degree of all its terms.

## Glossary

### binomial

A binomial is a polynomial with exactly two terms.

### degree of a constant

The degree of any constant is 0.

### degree of a polynomial

The degree of a polynomial is the highest degree of all its terms.

### degree of a term

The degree of a term is the exponent of its variable.

### monomial

A monomial is a term of the form $$a{x}^{m}$$, where $$a$$ is a constant and $$m$$ is a whole number; a monomial has exactly one term.

### polynomial

A polynomial is a monomial, or two or more monomials combined by addition or subtraction.

### standard form

A polynomial is in standard form when the terms of a polynomial are written in descending order of degrees.

### trinomial

A trinomial is a polynomial with exactly three terms.

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