Multiplicity

Multiplicity records how many times an object occurs when repetitions carry mathematical information.

Table of contents
- Multiplicity of a root Multiplicity
  - Multiple root Multiplicity of a root

Multiplicity of a root

The multiplicity of a root

a

of a polynomial is the largest integer

m

such that

(X - a)^{m}

divides the polynomial.

Multiple root

A root is multiple when its multiplicity of a root is greater than one.

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