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=a1a22a33ann

Syntax

factor_in_square_free_multiplicity(Polynomial)
factor_in_square_free_multiplicity(Polynomial, Ring)

Description

Factorizes a polynomial p(x) over normalℝ with square-free factors. The output is a list {l1,...,ln}, where li is a list with two elements: the factor ai and its multiplicity (unit factors are skipped).

polynomials.factor_in_square_free_multiplicity1.calc.png

Factorizes a polynomial p(x)LaTeXp(x) over a ring with square-free factors. The output is a list {l1,...,ln}LaTeX\lbrace l_1, ..., l_n \rbrace, where liLaTeXl_i is a list with two elements: the factor aiLaTeXa_i and its multiplicity (unit factors are skipped).

polynomials.factor_in_square_free_multiplicity2.calc.png