Question

英语高手谁帮我翻译一下啊 谢谢啊

浅谈整系数多项式在有理数域中的不可约判别法
本文先介绍了一些基本定义、定理，然后给出了判断一个整系数多项式在有理数域中是否可约的几个方法。首先给出了著名的艾森斯坦因判别法，但是它也有局限性：它只是一个充分条件，利用它仅可以判定一些特殊的整系数多项式在有理数域上的不可约性。所以我们不得不探索出一些其他的方法，其中包括：艾森斯坦因判别法的等价形式、反证法、代换法、利用有理根判别法、利用因式分解唯一性定理等。
关键词：整系数多项式；数域；不可约多项式；艾森斯坦因判别法
谢谢啊
你们怎么和我用翻译机翻译的一样的啊？老师说这样不行我才上来求救的啊。希望真正的英语高手来帮帮我，或者最起码把翻译机翻译的错误也改一下啊，像艾森斯坦因判别法的英语翻译翻译机给出的就不对，其实应该是Eisenstein 判别法啊 ，救救我 啊 。。。。。。。。。。

Answer 1

Discusses the entire coefficient multinomial shallowly in region of rationality indivisible distinction method
This article introduced first some basic definitions, the theorem, then gave have judged a coefficient multinomial in the region of rationality whether improper several methods. First gave renowned Ison Stein to distinguish the method, but it also had the limitation: It is only a sufficient condition, uses it only to be possible to determine some special entire coefficient multinomial on the region of rationality irreducibility. Therefore we can not but explore some other methods, including: Ison Stein distinguishes method equal form, counter-evidence method, substitution method, use rational root distinction method, use factorisation uniqueness theorem and so on.

整系数多项式；Entire coefficient multinomial
数域；Number field
不可约多项式；Irreducible polynomial
艾森斯坦因判别法
Ison Stein distinguishes method

Answer 2

Discussed shallowly the entire coefficient multinomial this article introduced first in region of rationality's indivisible distinction law some basic definitions, the theorem, then gave have judged a coefficient multinomial in the region of rationality whether improper several methods. First gave renowned Ison Stein to distinguish the law, but it also had the limitation: It is only a sufficient condition, uses it only to be possible to determine some special entire coefficient multinomial on the region of rationality irreducibility. Therefore we can not but explore some other methods, including: Ison Stein distinguishes method equal form, reduction to absurdity, substitution law, use rational root distinction law, use factorisation uniqueness theorem and so on.

key word: Entire coefficient multinomial; Number field; Irreducible polynomial; Ison Stein distinguishes the law

Answer 3

On the whole polynomial coefficient in the domain can not be rational about discrimination law
This article first introduced some basic definitions, theorems, and then gives the judge a whole polynomial coefficient in the rational domain about whether the several ways. First is the famous Eisenstein because of discrimination law, but it also has limitations: it is only a sufficient condition, use it only can determine the whole of some special factor polynomials in the domain can not be rational about sexual. Therefore, we have to explore some other ways, including: Eisenstein criterion for the equivalent form of reduction to absurdity, the substitution law, rational use of Gen-discrimination law, use of factorization, and so the only theorem.
Key words: the whole factor polynomials; several domain; not about polynomials; Eisenstein because of discrimination law