| 整系数多项式的若干性质 |
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| 引用本文： | 席小忠.整系数多项式的若干性质[J].宜春学院学报,2006,28(2):37-38. |
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| 作者姓名： | 席小忠 |
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| 作者单位： | 宜春学院数学与计算机科学学院,江西,宜春,336000 |
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| 摘 要： | 本文论述了整系数多项式的无整数根的充分性、三次整系数多项式在有理数域上不可约的充分性、n次整系数多项式在有理数域上不可约的充分性、整系数多项式无复重根的充分性等整系多项式的若干性质,这些性质对研究整系数多项式及其应用有重要的意义。
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| 关 键 词： | 整系数 不可约 多项式 复重根 |
| 文章编号： | 1671-380X（2006）02-0037-02 |
| 收稿时间： | 2006-04-04 |
| 修稿时间： | 2006年4月4日 |
Some Properties of Polynomial with Integer Coefficient |
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| XI Xiao-zhong.Some Properties of Polynomial with Integer Coefficient[J].Journal of Yichun University,2006,28(2):37-38. |
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| Authors: | XI Xiao-zhong |
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| Institution: | College of Mathematics and Computer Science, Yichun University, Yichun, 336000 China |
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| Abstract: | The paper discusses some properties of polynomial with integer coefficient.Example,sufficient of polynomial of degree n is irreducible polynomial of rational number field;sufficient of polynomial of degree 3 if irreducible polynomial of rational number field;sufficient of polynomials with integer coefficient is not integer root and is not repeated complex root etc.These properties are of great use application of polynomial. |
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| Keywords: | Integer Coefficient Irreducible Polynomial Repeated Complex Root |
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