How to learn factoring to do a favor to Ha 5

Do more and find more typical questions.

Ask your teacher more.

Factorization? Is it junior high school?。。。

Listen carefully in class and take notes carefully.

Let's see if we can extract the common factor, many problems will have eyebrows after extraction, and then completely square difference formula, sometimes you may have to extract the common factor first for non-square number squared, square difference formula and then look at it, such as 4(ab) 2-2(bc) 2=2b 2(a 2-c 2)=2b 2(a-c)(a+c).

Do more exercises, find experience and understand more in practice questions.

x^2-5x+4 =(x-1)(x-4)

x^2-x-6=(x-3)(x+2)

2x 2+3x-5=2(x-5 2)(x+1)3x 2+x-10=3(x+2)(x-5 3)2x 2+7x+3=2(x+1 2)(x+3)6x 2-x-5=6(x-1)(x+5 6)6x 2+8x+2=6(x+1 3)(x+1)x 2+8x+12 =(x+6)(x+2)-2x+2x+4x +2x=-2x(x-1+root number 2)(x-1-root number 2).

(x-1)(x-4)

x-3)(x+2)

x-1)(2x+5)

3x-5)(x+2)

2x+1)(x+3)

6x+5)(x-1)

2(3x+1)(x+1)

x+2)(x+6)

In the end, it can only be turned to -2x ( x -2x-1), whether the title is written incorrectly.

（x-1)(x-4)

x-3)(x+2)

2x+5)(x-1)

3x-5)(x+2)

2x+1)(x+3)

6x+5)(x-1

2(3x+1)(x+1)

x+2)(x+6)

Finally, are you sure the question is correct?

The basic methods that need to be mastered in factorization:1Mention the common factor method 2Formula Method 3Group Decomposition Method 4Addition method 5Cross multiplication.

Extended methods of factorization:1Double cross decomposition method 2

Commutation method 3Principal Element Law 4Factoring theorem (remainder theorem) 5

Pending coefficient method 6Typical method of rotational symmetry. (The above methods are introduced in the first book of the small blueprint).

Improve the decomposition ability after mastering the method:1Learn the typical sub-decomposition method 2

Do a lot of thematic exercises, and you can judge what method to use at the first time 3Do mixed exercises (e.g., the chapter on the application of factorization in the big picture), in short, it is important to brush up on the questions.

Good psychological quality: Generally speaking, the more difficult factorization cannot be successful once, it needs to be tried many times, and the process may be very long and cumbersome, so be patient, not rushed, but carefully observe and look for breakthroughs.