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How do you find the multiplicity?

A zero has a multiplicity, which refers to the number of times that its associated factor appears in the polynomial. For instance, the quadratic (x + 3)(x 2) has the zeroes x = 3 and x = 2, each occuring once.

What does multiplicity 2 mean?

This means that 1 is a root of multiplicity 2, and −4 is a 'simple' root (of multiplicity 1). The multiplicity of a root is the number of occurrences of this root in the complete factorization of the polynomial, by mean of the fundamental theorem of algebra.

What is multiplicity in a polynomial?

In mathematics, the multiplicity of a member of a multiset is the number of times it appears in the multiset. For example, the number of times a given polynomial equation has a root at a given point is the multiplicity of that root.


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