Question

How do you determine if $21$ is a polynomial and if so, how do you identify if it is a monomial, binomial, or trinomial?

Answer 1

Hint: In this problem we need to check whether the given value is a polynomial or not. For solving this, we need to recollect the definitions of the terms - polynomial, monomial, binomial and trinomial. If it has a variable or constants, then we can classify it as a polynomial. Depending on the number of terms, we can classify the polynomial further as a monomial, binomial or trinomial.

Complete step-by-step solution:
For solving this question, first we need to check whether the given value has variables/constants or not.
We have been given $21$. which is a constant. We can observe that the given value is a constant. So, we can consider this value as the polynomial.
We will now check how many terms are in the given value. If the given value contains only one variable then we can call it as monomial, if it has two variable terms then we can call it as binomial and if it has the three variable terms then we can call it as trinomial. Likewise, we can classify the given value.
So, we have $21$ in the question. Now we will observe the number of terms in the given expression to classify the expression. We can observe that the given expression has only one variable so we can regrade it as monomial.

Note: For similar types of the problems we can follow below information that is very useful to classify the polynomials.
1. A monomial has only one term. Everything can be combined without a plus or a minus sign. Such as $4x$.
2. A binomial has two terms. There are unlike terms that can not be combined. Such as $x+4$ there is a one plus or minus sign.
3. A trinomial has three terms. There are three unlike terms that can not be combined such as ${{x}^{2}}+4x+4$ there are two plus or minus signs.