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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.
The number of trailing zeros in the decimal representation of n !, the factorial of a non-negative integer n, is simply the multiplicity of the prime factor 5 in n !. This can be determined with this special case of de Polignac's formula : where k must be chosen such that. and denotes the floor function applied to a.he number of trailing zeros in the decimal representation of n !, the factorial of a non-negative integer n, is simply the multiplicity of the prime factor 5 in n !. This can be determined with this special case of de Polignac's formula : where k must be chosen such that. and denotes the floor function applied to a.