论文部分内容阅读
若把多项式中的第一个字母换成第二个字母,第二个字母换成第三个字母,…,最后一个字母换成第一个字母,结果仍然是原来的多项式,则称比多项式为轮换对称多项式。本文介绍用减元法来分解这类多项式,这就是在原式中减少一个(或几个)字母,分解减元后的多项式,再回过头来根据轮换对称性,猜测出原式所分解因式的结果,最后进行验证。这种方法简便易行,有些难题甚至可以心算出来。现举例说明之:
If the first letter in the polynomial is replaced with the second letter, the second letter is replaced with the third letter, ..., the last letter is replaced with the first letter, the result is still the original polynomial, then the polynomial is called To rotate symmetric polynomials. This article describes the use of the subtractive element method to decompose such polynomials, which is to reduce one (or several) letters in the original formula, decompose the degenerative polynomial, and then come back to guess the original decomposed factor according to the rotational symmetry. The results are finally verified. This method is simple and easy, and some problems can even be calculated. Here is an example: