Factor in square free multiplicity

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

p equals a subscript 1 a subscript 2 superscript 2 a subscript 3 superscript 3 midline horizontal ellipsis a subscript n superscript n

factor_in_square_free_multiplicity(Polynomial)

Factorizes a polynomial p left parenthesis x right parenthesis over straight real numbers with square-free factors. The output is a list left curly bracket l subscript 1 comma... comma l subscript n right curly bracket, where l subscript i is a list with two elements: the factor a subscript i and its multiplicity (unit factors are skipped).

factor_in_square_free_multiplicity(Polynomial, Ring)

Factorizes a polynomial p left parenthesis x right parenthesis over a ring with square-free factors. The output is a list left curly bracket l subscript 1 comma... comma l subscript n right curly bracket, where l subscript i is a list with two elements: the factor a subscript i and its multiplicity (unit factors are skipped).