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分组分解因式是初中代数的重要内容,也是因式分解的重要方法之一.其分组的目的是通过合理恰当的分组便于将多项式分解因式.分组时要有预见性,且能预测到分组后的多项式能否分解,并应用什么方法分解.现分类举例介绍如下:一、根据系数比分组例1分解因式667a~2x+5336xy~2+4002mx-1334ax~2-2001ma-2668ay~2.分析其特征:原式中第1、4项,第5、3项,第6、2项的系数之比都是1:(-2),或者第1、5、6项,第4、3、2项的系数之比都是1:(-3):(-4).
The factorization of grouping is an important part of junior high school algebra and is also one of the important methods of factorization.The purpose of grouping is to make it easy to factorize the polynomials by reasonably appropriate grouping.When grouping is predictive and predictable grouping After the polynomial can be decomposed, and what method to decompose. Now classified examples are described below: First, according to the coefficient ratio group Example 1 Factor 667a ~ 2x + 5336xy ~ 2 + 4002mx-1334ax ~ 2-2001ma-2668ay ~ 2. Analysis of the characteristics: the original 1,4,4,3,5,3,6,6 items of the coefficient of the ratio of 1: (- 2), or 1, 5, 6, 4, 3 , The ratio of the two coefficients is 1: (- 3): (- 4).