An algebraic expression that contains two terms is called a binomial.

The meaning of binomial is defined from a prefix “Bi” and a Latin term “Nomial”.

- The meaning of Prefix “Bi” is two.
- The meaning of “Nomial” is a term.

Combining the meanings of both terms, the term binomial is defined in algebra as an algebraic expression with two terms. A binomial is actually expressed in terms of two unlike algebraic terms for representing a quantity mathematically. In a binomial, the two unlike algebraic terms are connected by plus ($+$) or minus sign ($-$) to form an algebraic expression.

A binomial is also known as a polynomial of two terms. It is possibly formed in two different forms.

The binomials are formed by two unlike terms but in some cases, one term is an algebraic term and other term is a number.

$(1) \,\,\,\,\,\,$ $2b+5$

$(2) \,\,\,\,\,\,$ $x-7$

$(3) \,\,\,\,\,\,$ $-\dfrac{3}{2}+0.75xy^2$

$(4) \,\,\,\,\,\,$ $-pqr-8$

$(5) \,\,\,\,\,\,$ $r^3+7\sqrt{6}$

Similarly, the binomials are also formed purely by two unlike algebraic terms.

$(1) \,\,\,\,\,\,$ $a+b$

$(2) \,\,\,\,\,\,$ $x-2y$

$(3) \,\,\,\,\,\,$ $-\dfrac{p}{7}-\sqrt{3}pq^2r^3$

$(4) \,\,\,\,\,\,$ $-0.8m+m^2n^2$

$(5) \,\,\,\,\,\,$ $ut+\dfrac{1}{2}gt^2$

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