# What is the definition of a polynomial equation

## polynomial

**We will deal with the term polynomial in this article. We will explain to you what a polynomial is and give you some suitable examples. This article belongs to the field of mathematics.**

A polynomial is a sum of multiples of powers with natural number exponents of a variable, which in most cases is denoted by x. The following examples should make this clear to you:

**Examples of polynomials:**

- 3x
^{2}+ 2x + 5 - 7x
^{3}+ x^{2}+ 6x + 2 - 10x
^{5}+ 3x^{4}+ 2x

**Types of Polynomials**

There are different types of polynomials in mathematics. A binomial in mathematics is a polynomial with two terms. In other words: a binomial is the sum or difference of two monomials. The following examples show you how a **Binomial** looks like:

In mathematics, a trinomial is the three-part equivalent of the better-known binomial. So it is a polynomial that is a sum of three monomials. This may sound complicated at first, but in practice it is very simple. The following examples show you some trinomials:

- a
^{2}+ b^{2}+ c^{2} - 6a
^{2}+ 7a^{3}+ 8a^{4}

**Left:**

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