We prove that if $f(x)=\sum _{k=0}^{n-1}a_{k}x^{k}$ is a polynomial with no cyclotomic factors whose coefficients satisfy $a_{k}$ ≡ 1 mod 2 for 0 ≤ k < n, then ...

Mathematics of Computation, Vol. 79, No. 270 (APRIL 2010), pp. 967-981 (15 pages) Following a paper of R. Robinson, we classify all hyperbolic polynomials in one variable with integer coefficients and ...

Bi-univalent functions constitute a significant subclass of analytic functions defined on the open unit disc, characterised by the property that both the function and its inverse are univalent. This ...

Algorithms for polynomial computation over finite fields form a crucial domain in computational mathematics, with extensive applications ranging from cryptography and ...

Here's how the process of synthetic division works, step-by-step. Divide \(3{x^3} - 4x + 5\) by \((x + 2)\) and state the quotient and remainder. First, make sure the polynomial is listed in order of ...