Question

How do you determine if $5 + x$ is a monomial?

Answer 1

Hint: In this question we are asked to find whether the given expression is a monomial, to find this we will know the definition of monomial that is, A monomial is an expression in algebra that contains one term, like $6x$. So, we will find the number of terms that the given expression has and by that we will know whether the expression is a monomial or not.

Complete step by step solution:
A monomial is a polynomial which is an algebraic expression having only a single term which is non-zero. Monomials include: numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. A polynomial is a sum of monomials where each monomial is called a term. A monomial multiplied by a monomial is also a monomial and a monomial multiplied by a constant is also a monomial.
Given expression is $5 + x$,
So, this expression has two terms, they are $5$ and $x$,
Therefore the given expression is not a monomial.
Final Answer:
The given expression i.e., $5 + x$ is not a monomial as it has two terms.

Note:
Polynomials are expressions that include exponents that are added, subtracted, divided or multiplied, there are different types of polynomial such as monomials, binomials, trinomials and we can call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial.