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在分解因式时,需要根据多项式的结构特征,采用恰切的方法实施分解,也就是通常所说的“一提二用三分组”.从某种意义上说,顺利分解的关键是精准的分类.首先,看多项式的各项有没有公因式可以提取;其次,根据待分解的整式是(二次)二项式抑或(二次)三项式,判断适宜使用哪个乘法公式;再次,如果不能使用公式,则看能否恰当分组或十字相乘等.下面通过几个例子来说明.
In decomposing the factor, we need to implement the factoring according to the structural characteristics of the polynomial and adopt the proper method to implement the factorization, which is commonly referred to as “one and two-thirds.” In a sense, the key to smooth decomposition is First of all, to see whether there is any common factor polynomial extraction; Second, according to the whole to be resolved is (quadratic) binomial or (quadratic) triad to determine the appropriate use of which multiplication formula; Again, if you can not use the formula, see whether the appropriate grouping or cross multiplication, etc. Here are a few examples to illustrate.