因式分解,不但在初等数学的分式化简、数值的简捷计算、整数和多项式整除的判别、解方程与方程组、解不等式与不等式组、极限计算等很多方面都有应用,就是在高等数学中也有广泛应用。本文只就因式分解在证题中的应用,举例归纳。一、通过因式分解,观察多项式是否含有某些因式,或观察整值多项式是否含有某些因数,从 Factorization not only applies to fractional simplification of elementary mathematics, simple calculation of numerical values, discrimination of integers and polynomials, solution equations and equation sets, solution inequalities and inequalities, limit calculations, and so on. It is also widely used in mathematics. This paper only summarizes the application of factorization in the testimony. First, through the factorization, observe whether the polynomial contains some factor, or observe whether the integer polynomial contains some factor, from