Geodesic
The factorization of f(x)x n +g(x) with f(x) monic and of degree ≤2.
Harrington, Joshua1 ; Vincent, Andrew2 ; White, Daniel1
1 Department of Mathematics University of South Carolina Columbia, SC 29208
2 Department of Mathematics University of South Carolina Columbia, SC, 29208
Journal de théorie des nombres de Bordeaux, Tome 25 (2013) no. 3, pp. 565-578

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In this paper we investigate the factorization of the polynomials f(x)x n +g(x)∈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.

Dans cet article, nous étudions la factorisation des polynômes f(x)x n +g(x)∈ℤ[x] dans le cas particulier où f(x) est un polynôme quadratique unitaire avec discriminant négatif. Nous mentionnons également des résultats similaires dans le cas où f(x) est unitaire et linéaire.

DOI : 10.5802/jtnb.849
Classification : 11C08, 12E05, 26C10
Keywords: polynomials, trinomials, irreducible, factorization

Harrington, Joshua 1 ; Vincent, Andrew 2 ; White, Daniel 1

1 Department of Mathematics University of South Carolina Columbia, SC 29208
2 Department of Mathematics University of South Carolina Columbia, SC, 29208 
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     title = {The factorization of $f(x)x^n+g(x)$ with $f(x)$ monic and of degree $\le 2$.},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
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Harrington, Joshua; Vincent, Andrew; White, Daniel. The factorization of $f(x)x^n+g(x)$ with $f(x)$ monic and of degree $\le 2$.. Journal de théorie des nombres de Bordeaux, Tome 25 (2013) no. 3, pp. 565-578. doi: 10.5802/jtnb.849

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