Factorization method:
A method of solving higher order unary equation in mathematics. The method of shifting the numbers (including unknowns) on one side of the equation into 0, making the other side of the equation a product of several factors, and then making each factor equal to 0 is called factorization.
[Description] A polynomial is decomposed into the product of several simplest algebraic expressions in an interval (such as rational numbers, that is, all terms are rational numbers). This deformation is called factorization, also called factorization.
Method classification
Transforming a polynomial into the product of several algebraic expressions is called factorization of this polynomial, which is also called factorization. There is no universal method for factorization, and junior high school mathematics textbooks mainly introduce common factor method and formula method.
On the other hand, there are division and addition, grouping decomposition and cross multiplication, undetermined coefficient method, double cross multiplication, symmetric polynomial rotation symmetric polynomial method, remainder theorem method, radical method, method of substitution, long division, division and so on.
Methods of improving common factor
The common factor of several polynomial terms is called the common factor of this polynomial term.
If every term of a polynomial has a common factor, we can put forward this common factor, so that the polynomial can be transformed into the product of two factors. This method of decomposing factors is called the improved common factor method.
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; The letter takes the same letter of each item, and the index of each letter takes the smallest number; Take the same polynomial with the lowest degree.
If the first term of a polynomial is negative, a "-"sign is usually put forward to make the coefficient of the first term in brackets become positive. When the "-"sign is put forward, the terms of the polynomial should be changed.