Question

How many terms are in the algebraic expression: $6b + 10$?

Answer 1

Hint: Algebraic Expression is the combination of constant and variables of one or more than one terms, which are associated by mathematical expressions such as addition, subtraction, multiplication or division. A variable is a symbol for a number which is unknown. A number alone is known as constant. Term is a single number, or numbers and variables multiplied or divided with each other.

Complete step-by-step answer:
Algebraic Expressions with one term are simple algebraic expressions and with more than two terms are called compound algebraic expressions. In the given question, we have been asked to count the number of terms in the linear equation. In order to proceed with the following question we need to know the operation which is separating and which is not. Addition and subtraction are considered as separating operations, when used between two terms, the terms are considered to be two different terms. Whereas when multiplication and division are used between two terms, the terms are not considered to be separate.
We are given,
$ \Rightarrow 6b + 10$
Since, \[6\;and\;b\] are separated by multiplication it is considered as one term
Whereas, \[6b\;and\;10\] are separated by addition they are considered to be two separate terms.
So,
The equation \[6b\;and\;10\] has two terms.
So, the correct answer is “two terms.”.

Note: Expression which has one term is known as “Monomial”
Expression which has two unlike terms is known as “Binomial”
Expression which has three unlike terms is known as “Trinomial”
Generally, expression which has one or more than one term is known as “Polynomial”