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The factorization of $f (x) x^{n} + g (x)$ with $f (x)$ monic and of degree $\leq 2$ .

Joshua Harrington; Andrew Vincent; Daniel White — 2013

Journal de Théorie des Nombres de Bordeaux

In this paper we investigate the factorization of the polynomials $f (x) x^{n} + g (x) \in ℤ [x]$ in the special case where $f (x)$ is a monic quadratic polynomial with negative discriminant. We also mention similar results in the case that $f (x)$ is monic and linear.

Appending digits to generate an infinite sequence of composite numbers.

Jones, Lenny; White, Daniel — 2011

Journal of Integer Sequences [electronic only]

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The factorization of f ( x ) x n + g ( x ) with f ( x ) monic and of degree ≤ 2 .

Appending digits to generate an infinite sequence of composite numbers.

The factorization of $f (x) x^{n} + g (x)$ with $f (x)$ monic and of degree $\leq 2$ .