What is the name of the polynomial 3x+1

It is a binomial. Two terms: 3x, 1

Binomial

Step-by-step explanation:

Each Polynomial is made up of a set number of terms. Before we can give the usual terms used in math, we must first define and identify what a term is.

1) Term: A term generally consists of either a variable (a letter that represents a value that is unidentified), a constant (a number), or a mix of both.

Example: 2, 2x, 2x²

2) Monomial: A monomial is one set of term.

Example: 1, x, x²

2) Binomial: A binomial has 2 sets of terms.

Example: x + 1, x² + 3

3) Trinomial: A trinomial has 3 sets of terms.

Example: 5x² + 5x + 5, 10x² + 7x + 3

While there are many more, these 3 are the ones used the most in math.

Now, let us take a look at your question. Your question asks for the name of the polynomial: 3x + 1

There are 2 terms:

Term 1: 3x

Term 2: 1

Because there are only 2 terms, by definition, it is a binomial.