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因式分解是初中数学中的一个重要内容,它对以后的学习有着深远的影响.为了帮助同学们更好地学习因式分解,特提出如下几点注意.一、注意公因式的选取所谓公因式,一是各项系数的最大公约数,二是取各项中相同字母的最低次幂.它们的积就是这个多项式的各项的公因式.例1把12x~3-36x~2分解因式.分析:公因式中的系数应是12和36的最大公约数12,公因式中的字母应是x的最低次幂x~2.
Factorization is an important part of junior high school mathematics, which has a far-reaching impact on the future of learning.In order to help students learn better factorization, special mention the following points: First, pay attention to the selection of the common cause The common factor, one is the greatest common divisor of each coefficient, the second is to take the lowest power of the same letters in each item, and their product is the common factor of the polynomial.Example 1 The 12x ~ 3-36x ~ 2 Factorization Analysis: The factor in the common factor should be the greatest common divisor of 12 and 36, and the letter in the common factor should be the lowest power of x x ~ 2.