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Journal of South China Normal University (Natural Science Edition) > 2011 > 0(2): .

THE IRREDUCIBLE QUADRATIC FACTORS OF THE TRINOMIAL x^n-bx +a[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).

Citation:

THE IRREDUCIBLE QUADRATIC FACTORS OF THE TRINOMIAL x^n-bx +a[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).

THE IRREDUCIBLE QUADRATIC FACTORS OF THE TRINOMIAL x^n-bx +a[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).

Citation:

THE IRREDUCIBLE QUADRATIC FACTORS OF THE TRINOMIAL x^n-bx +a[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).

THE IRREDUCIBLE QUADRATIC FACTORS OF THE TRINOMIAL x^n-bx +a

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Received Date: May 24, 2010
Revised Date: July 19, 2010

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Abstract

Let n be a positive integer, and Let f(x)=x^n-bx+a，where a,b are nonzero integers. Using a recent result on the existence of primitive divisors of Lucas numbers, all which have monic irreducible quadratic factors with integer coefficients are given under the assumption nmax(30,1/2(|b|+1.
- trinomial,
- quadratic factor,
- Lucas number,
- primitive divisor

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