Definition of factorization: transforming a polynomial into a product form becomes the factorization of this polynomial.

Definition of common factor: The monomials contained in all terms of a polynomial are called common factors of this polynomial.

Factorization method:

1, common factor method

Generally speaking, if each term of a polynomial contains a common factor, then this common factor can be put outside brackets and the polynomial can be written in the form of factor product. This method of factorization is called the method of improving the common factor. Expressed in letters as ma+mb+mc=m(a+b+c).

2. Formula factorization.

1), factorization factor of square difference formula

The square difference of two numbers is equal to the product of these two numbers. Expressed in letters as a2-b2=(a+b)(a-b)

2), the complete square formula decomposition factor

The sum of the squares of two numbers plus (or minus) twice the product of these two numbers equals the square of these two numbers. Expressed in letters as A2AB+B2.

These are general knowledge points.

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