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multiplicity

Multiplicity

How many times a particular number is a zero for a given polynomial. For example, in the polynomial functionf(x) = (x – 3)4(x – 5)(x – 8)2, the zero 3 has multiplicity 4, 5 has multiplicity 1, and 8 has multiplicity 2. Although this polynomial has only three zeros, we say that it has seven zeros counting multiplicity.

 

 

See also

Double root, triple root, fundamental theorem of algebra

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