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What is 'zero of 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 are multiplicities of zeros?

Multiplicity. How many times a particular number is a zero for a given polynomial. For example, in the polynomial function f ( x ) = ( x – 3) 4 ( x – 5)( x – 8) 2 , the zero 3 has multiplicity 4, 5 has multiplicity 1, and 8 has multiplicity 2.


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