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换元法是中学数学的重要解题方法 ,应用极为广泛 ,将此法应用于多项式的因式分解 ,有时能使比较隐蔽的因式迅速显露出来 ,为合理分组、运用公式扫清障碍、铺平道路 ,从而使因式分解化难为易。一、用相同部分换元例 1.分解因式 :( x2 +4x+3) ( x2 +12 x+35) +15。 ( 1998年“三
Replacement method is an important problem solving method for middle school mathematics. It is widely applied. Applying this method to factorization of polynomials can sometimes reveal relatively hidden factors. It is reasonable to group and use formulas to clear obstacles and paving. The road is flat, so it is difficult to factorize. First, with the same part of the replacement example 1. The decomposition factor: (x2 +4x +3) (x2 +12 x +35) +15. ("Three in 1998