Factorial decomposition mainly includes cross multiplication, undetermined coefficient method, double cross multiplication, symmetric polynomial method, rotational symmetric polynomial method, remainder theorem method and so on. There is no universal method to find the root common factor decomposition. The junior high school mathematics textbooks mainly introduce the methods of putting forward common factors, using formulas and grouping decomposition.

There are French division, addition and subtraction, method of substitution, long division, short division, division and so on.

Extended data:

Principle:

1. The factorization factor is an identical deformation of a polynomial, and the left side of the equation must be a polynomial.

2. The result of factorization must be expressed in the form of product.

3. Each factor must be an algebraic expression, and the degree of each factor must be lower than that of the original polynomial.

4. In the end, only brackets are left, and factorization must be carried out until each polynomial factorization can no longer be decomposed;

5. The polynomial term of the result is generally positive. Extract the common factor from a formula, that is, recombine the formula and then extract the common factor;

6. The first coefficient in brackets is generally positive;

7. If a monomial is multiplied by a polynomial, the monomial should be mentioned before the polynomial. For example, (b+c)a should be written as A (b+c);

8. When there is no explanation for real numbers in the exam, it is generally enough to explain only rational numbers. If you have an explanation for real numbers, you usually turn to real numbers.

Formula: The first term is often negative, all terms are "public" first, and a certain term is not short of 1, and "bottom" is divided by brackets.

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