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Multiplicity Order

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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.

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