因式分解是代数变形的重要工具,现阶段,在数值计算、代数式的化简求值、不定方程(组)、代数等式的证明等方面有广泛的应用,同时,通过因式分解的训练和应用,能促使学生的观察能力、运算能力、变形能力、逻辑思维能力得以提高,因此,有人说“因式分解是学好代数的基础之一.2011年版课程标准对因式分解的要求是”能用提公因式法、公式法(直接利用公式不超过二次)进行因式分解(指数是正 Factorization is an important tool for algebraic deformation. At present, it has been widely used in numerical calculation, reduction of algebra, indefinite equation (group) and proof of algebraic equation. At the same time, through the factorization training And application, can promote students’ observation ability, computing ability, deformation ability, logical thinking ability can be improved, therefore, some people say “Factorization is one of the foundation to learn algebra. ”Factorization can be done by using the public factor method and the formula method (using the formula no more than twice) (the index is positive