| 摘要: |
| 若a1,a2,…,an是n-1个不同的整数，证明了当n≥4时，f(x)=(x-a1)(x-a2)…(x-an)-1在有理数域〖WTHZ〗Q〖WTBX〗上不可约；当n≥3时，f(x)=(x-a1)2(x-a2)2…(x-an)2+1在有理数域〖WTHZ〗Q〖WTBX〗上不可约. |
| 关键词: 有理数域 多项式 不可约 系数 次数 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Simple Generalization of a Class of Irreducible Polynomialsin Rational Number Field |
|
LI Zhi
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| Abstract: |
| Suppose a1,a2,…,an are different Integers of n-1. This paper proves that if n≥4, the polynomial f(x)=(x-a1)(x-a2)…(x-an)-1 is irreducible in the rational number range Q, and if n≥3, the polynomial f(x)=(x-a1)2(x-a2)2…(x-an)2+1 is irreducible in the rational number range Q. |
| Key words: rational number field irreducible polynomial coefficients degree |
