Given a monic polynomial f over finite fields F, (i.e. the coefficents of f are in the field F), we will factor f into product of irreducible monic polynomials. (a polynomial is irreducible if it is ...

Methods of polynomial factorization which find the zeros one at a time require the division of the polynomial by the accepted factor. It is shown how the accuracy of this division may be increased by ...

A collection of functions for working modular arithmetic, polynomials over finite fields, and related things. Implements factorization of 64 bit numbers using trial division, Pollard's Rho algorithm ...

An iterative technique is displayed whereby factors of arbitrary degree can be found for polynomials in one variable. Convergence is shown to occur always if a certain Jacobian does not vanish and if ...

We consider polynomials of bi-degree (n, 1) over the skew field of quaternions where the indeterminates commute with each other and with all coefficients. Polynomials of this type do not generally ...

Transactions of the American Mathematical Society, Vol. 216 (Feb., 1976), pp. 237-248 (12 pages) Conical polynomials are defined as certain polynomials in quadratic elements of the universal ...

We investigate factorizability of a quadratic split quaternion polynomial. In addition to inequality conditions for existence of such factorization, we provide lucid geometric interpretations in the ...

Factorization theorems are obtained for selfadjoint operator polynomials $\mathrm{L}\left(\mathrm{\lambda }\right):=\sum _{\mathrm{j}=0}^{\mathrm{n}}{\mathrm{\lambda ...

Solving polynomials can be a challenging yet rewarding process when equipped with the right knowledge and techniques. Use this 13-step guide as a reference for tackling polynomials and expanding your ...