Hint 1: Method of extracting common factors
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.
Tip 2: Formula method
Tip 3: Cross multiplication
Tip 4: Double (long) fork multiplication
The essence of double cross multiplication is the same as that of cross multiplication, and it is generally suitable for quadratic sextuples (binary quadratic sextuples or ternary quadratic sextuples).
Tip 5: Principal Component Method
When factorizing an algebraic expression with multiple letters, one letter can be selected as the principal component and the other letters as the letter coefficients, thus achieving the effect of "order reduction" and "elimination" in understanding, and all polynomials can also be regarded as unary polynomials.