# Factor in square free multiplicity

Factorizes a polynomial with square-free factors. That is, given a polynomial , a square-free factorization is a factorization into powers of square-free factors

## Syntax

## Description

#### factor_in_square_free_multiplicity(Polynomial)

Factorizes a polynomial over with square-free factors. The output is a list , where is a list with two elements: the factor and its multiplicity (unit factors are skipped).

#### factor_in_square_free_multiplicity(Polynomial, Ring)

Factorizes a polynomial over a ring with square-free factors. The output is a list , where is a list with two elements: the factor and its multiplicity (unit factors are skipped).