The common methods and skills of factorization Tian Fayin factorization is an important identity deformation in junior high school algebra and an important means and tool to deal with mathematician problems. Related topics are very common in senior high school entrance examinations and math competitions.

For special factorization, in addition to common basic methods such as factorization, formula, grouping decomposition and cross multiplication, some special methods should be flexibly selected according to the specific structural characteristics of polynomials, which can not only turn difficult problems into difficult ones, simplify complex problems, but also help cultivate students' habit of exploring and seeking new things.

Improve students' mathematical thinking ability. Several commonly used methods and skills in factorization are listed as follows for students' reference. In the factorization process of some polynomials, if one term (or several terms) of polynomials is properly decomposed into algebraic sums of several terms, and then decomposed by basic methods, the problem will be solved easily.

Generally speaking, if every term of a polynomial has a common factor, you can put this common factor outside parentheses and write the polynomial in the form of factor product. This factorization method is called common factor method. AM+BM+CM = M (A+B+C)。

Specific methods: when all the coefficients are integers, the coefficients of the common factor formula should take the greatest common divisor of all the coefficients; If the first term of the polynomial is negative, a "-"sign should be put forward to make the coefficient of the first term in brackets positive.