If we want to define precisely the idea of **multiplicity order** , it is necessary to first review several terms of the **mathematics** . Otherwise, understanding the expression will be very complicated.

In this context, it is worth referring to the concept of **multi-set** . This is the name of **set** in which each member is linked to a **multiplicity** That points **how many times the item in question is a member of the set** .

In the multiset **{a, a, a, a, b, c}** , by **example** , the multiplicity of **to** is **4** , while the multiplicity of **b** and of **c** is **1** .

On the other hand, it is important to keep in mind that **polynomials** they are expressions formed by at least two algebraic terms that are joined by a minus sign (**-** ) or by a plus sign (**+** ). Finally, the notion of **root** as the value that, in an equation, the unknown may have.

The **root** of a polynomial, then, is a number that allows the polynomial to be annulled: when finding the numerical value, the result of the polynomial is **0** .

Now we can move forward and focus on what is the **multiplicity order** . It's about the **quantity** **of times a root is repeated in a polynomial** . To determine it, it is necessary to factor the polynomial.

Said of another **mode** , he **multiplicity order** Alludes to **how many times a certain number is the root of a polynomial** . For example, if the root of a polynomial is **4** , the number of times that **4** It appears as the root of said polynomial will be its order of multiplicity.