In mathematics, a square-free polynomial is a univariate polynomial (over a field or an integral domain) that has no multiple root in an algebraically...

distinct roots is equal to the degree of the polynomial. This concept is closely related to square-free polynomial. If K is a perfect field then the two concepts...

modulo p. Algorithm: SFF (Square-Free Factorization) Input: A monic polynomial f in Fq[x] where q = pm Output: Square-free factorization of f R ← 1 #...

polynomials, other expressions, or values in systems of mathematical values other than the numbers. For instance, the square of the linear polynomial...

for computing the square-free part of an integer, or even for determining whether an integer is square-free. In contrast, polynomial-time algorithms are...

replacing "irreducible polynomial" by "square-free polynomial" in the description of the outcome. This allows replacing polynomial factorization by the...

roots of a polynomial are the roots of the GCD of the polynomial and its derivative, and further GCD computations allow computing the square-free factorization...

mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the...

real roots of a polynomial Root-finding of polynomials – Algorithms for finding zeros of polynomials Square-free polynomial – Polynomial with no repeated...

with polynomials with integer coefficients, and intervals ending with rational numbers. Also, the polynomials are always supposed to be square free. There...