Factorization Factorization is to transform a polynomial into the product of several algebraic expressions. Factorization is the basis of identity deformation. As a powerful mathematical tool and method, it plays an important role in solving algebra, geometry and trigonometry problems. There are many methods of factorization, such as extracting common factors, formulas, grouping decomposition, cross multiplication and so on. Middle school textbooks also introduce the use of decomposition and addition, root decomposition, exchange elements, undetermined coefficients and so on.

Solving the absolute value problem mainly includes simplification, evaluation, equation, inequality, function and so on. The basic idea is to turn the problem with absolute value into the problem without absolute value. The specific transformation method is as follows:

① Classification discussion method: according to the positive, zero and negative scores of numbers or formulas in absolute value symbols, the absolute value is removed.

② Zero-point subsection discussion method: it is suitable for the case that a letter has multiple absolute values.

③ Two-sided flat method: it is suitable for equations or inequalities with non-negative edges.

④ Geometrical meaning method: It is suitable for cases with obvious geometrical meaning.

The idea of combining numbers with shapes can be transformed under certain conditions. For example, some algebraic problems and trigonometric problems often have geometric background, and we can solve the related algebraic trigonometric problems with the help of geometric features; Some geometric problems can often be solved by algebraic methods through quantitative structural characteristics. Therefore, the idea of combining numbers and shapes plays an important role in solving problems.

The above is some information about math learning skills for your reference.