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.
10ab^{2} is a monomial in two variables a and b.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.
3y^{4} + 2y^{3} + 7y^{2} - 9y + 3/5 is a polynomial of five terms in one variable 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.
a^{2} + 2b is a binomial in two variables a and b.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.
2a^{2} + 5a + 7 is a trinomial in one variables a.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.
x^{4} + 2x^{3} + 1/x + 1 is a multinomial of four terms in one variable xThese 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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