Types of algebraic expressions may further be distinguished in the following five categories.

They are: monomial, polynomial, binomial, trinomial, multinomial.

**1. **Monomial: An
algebraic expression which consists of one non-zero term only is called a
monomial.

Examples of monomials:

**a** is a monomial in
one variable a.

**2. **Polynomial: An
algebraic expression which consists of one, two or more terms is called a
polynomial.

Examples of polynomials:

**2a + 5b** is a polynomial
of two terms in two variables a and b.

**3xy + 5x + 1** is a
polynomial of three terms in two variables x and y.

**3. **Binomial: An
algebraic expression which consists of two non-zero terms is called a binomial.

Examples of binomials:

**m + n** is a binomial
in two variables m and n.

**4.** Trinomial: An
algebraic expression of three non-zero terms only is called a trinomial.

Examples of trinomial:

**x + y + z** is a trinomial
in three variables x, y and z.

**5.** Multinomial: An
algebraic expression of two terms or more than three terms is called a
multinomial.

**Note: **binomial and trinomial are the trinomials.

Examples of multinomial:

**p + q **is a multinomial of two
terms in two variables p and q.

**a + b + c **is a multinomial of
three terms in three variables a, b and c.

**a + b + c + d **is a multinomial of
four terms in four variables a, b, c and d.

These are the types of algebraic expressions explained with various types of examples.

**● ****Terms of an Algebraic Expression**

Types of Algebraic Expressions

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

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**● ****Terms of an Algebraic Expression - Worksheet**

Worksheet on Types of Algebraic Expressions

Worksheet on Degree of a Polynomial

Worksheet on Addition of Polynomials

Worksheet on Subtraction of Polynomials

Worksheet on Addition and Subtraction of Polynomials

Worksheet on Adding and Subtracting Polynomials

Worksheet on Multiplying Monomials

Worksheet on Multiplying Monomial and Binomial

Worksheet on Multiplying Monomial and Polynomial

Worksheet on Multiplying Binomials

Worksheet on Dividing Monomials

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