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...

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...

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 #...

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...

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

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

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

of algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more...