In this section, we have learned the definition of a polynomial, how to evaluate a polynomial, and how to classify a polynomial according to the number of its terms and the degree of its highest exponent.

### How to identify the degree and leading coefficient of a polynomial expression

- Find the highest power of the variable (usually x) to determine the degree.
- Identify the term containing the highest power of the variable to find the leading term.
- Identify the coefficient of the leading term.

### Degree of a Polynomial

- The degree of a term is the exponent of its variable.
- The degree of a constant is [latex]0[/latex].
- The degree of a polynomial is the highest degree of all its terms.

## Glossary:

**Polynomial**Algebraic expression that is created by combining numbers and variables using arithmetic operations such as addition, subtraction, multiplication, division, and exponentiation.**Monomial**The basic building block of a polynomial. [latex]a{x}^{m}[/latex], where [latex]a[/latex] is a constant and [latex]m[/latex] is a whole number. A monomial is one term and can be a number, a variable, or the product of a number and variables with an exponent.**Binomial**A polynomial containing exactly two terms.**Trinomial**A polynomial containing exactly three terms.**Coefficient**The number part of a term.**Leading term**The term with the highest degree.**Leading coefficient**The coefficient of the term with the highest degree.**Standard form**When the terms of the polynomial are arranged from the highest degree to the lowest degree.

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