What is the common factor

What is the common factor

The common factor contained in each item of a polynomial is called the common factor of the polynomial. The extraction method of the greatest common factor is as follows: the coefficient takes the greatest common divisor of the numerator and denominator coefficient, the letter takes the common letter of the numerator and denominator, and the index takes the smallest index of the common letter, which is their common factor

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Common factor
　　
The common factor contained in each item of a common factor polynomial is called the common factor of this polynomial item
（common factor）.
The extraction method of the greatest common factor: the coefficient takes the greatest common divisor of the numerator and denominator coefficient, the letter takes the common letter of the numerator and denominator, and the index takes the minimum index of the common letter, which is their common factor
Extraction of common factors
In general, if each term of a polynomial has a common factor, the common factor can be mentioned outside the brackets, and the polynomial can be written in the form of factor product. This method of factoring is called the method of quoting the common factor
Specific methods: when all the coefficients are integers, the coefficients of the common factor should take the greatest common divisor of all the coefficients; letters should take the same letters of each item, and the index of each letter should take the lowest degree; take the same polynomial, and the degree of polynomial should take the lowest degree
If the first term of a polynomial is negative, it is generally necessary to put forward the sign of "-" to make the coefficient of the first term in brackets become positive. When the sign of "-" is put forward, all items of the polynomial will change sign
Example: 3x + 6 + X + y + XY + 1
　　=3（x+2）+（x+xy）+（y+1）
　　=3(x+2)+x（1+y）+（y+1）
　　=3(x+2)+（x+1）（y+1）
It can be seen that the method of quoting common factors also needs certain skills
Another example: (X-Y) ^ 2 + Y-X
= (Y-X) ^ 2 + (Y-X) (skill is in this step)
　　=(y-x+1)(y-x)
Note: if the first term of a polynomial is negative, a negative sign should be put forward to make the coefficient of the first term in brackets positive. Students should be prevented from making mistakes such as - 9x2 + 4y2 = (- 3x) 2 - (2Y) 2 = (- 3x + 2Y) (- 3x-2y) = (3x-2y) (3x + 2Y)
Pithy formula: find out the common factor and clean it up once; all the family move away and keep one family guard; change the number and look at the odd and even

The fourth root of 16 is______ ．

The fourth root of 16 can be expressed as: ± 416, from ± 416 = ± 2, so the answer is: ± 2

What is the median

The median of cases 1, 3, 5, 8 and 9 was 5
The median of 10,11,15,20 was (11 + 15) / 2 = 13
The median of 11,19,19,30 was (19 + 19) / 2 = 19

When a student de denominates the equation 2x − 13 = x + a3 − 2, the - 2 on the right side of the equation is not multiplied by 3, and the solution of the equation is x = 2. Try to find the value of a and find the correct solution of the original equation

According to the meaning of the question, x = 2 is the solution of the equation 2x-1 = x + A-2, substituting x = 2 into 2 × 2-1 = 2 + A-2, obtaining a = 3. Substituting a = 3 into the original equation, obtaining 2x − 13 = x + 33 − 2, sorting out, 2x-1 = x + 3-6, obtaining x = - 2

Applied problems of the system of linear inequalities with one variable in Mathematics
There are 56 people in the line, going to watch the ball. There is a taxi fleet. If each taxi has 5 people, the car is not enough. Each taxi has 6 people, and only one car is not full. How many taxis does the taxi fleet have?
Only the formula. The system of inequalities of one variable once!
46 tons of goods shall be transported to the disaster area by Party A and Party B. Party A shall carry 5 tons of goods and Party B shall carry 4 tons of goods. How many vehicles shall be arranged at least?
List linear inequalities of one variable (Group)

This topic needs to list two inequalities and then establish them in succession. Now let me tell you the formula, let's set the car as x 5 times x greater than 56, 6 times x less than 56. Just calculate this. Study hard. I think physics is fun in my first year of high school. If you study hard in your second year of high school, you will find that physics is more fun than mathematics

1. Uncle Wang processes 120 parts for the factory every day, just in time to complete the task; in fact, he processes 30 more parts every day than the original plan, but in the first three days of the specified time, there are still 180 unfinished parts. How many of these parts?
Some good friends took bread to the picnic. If there were 6 bread for every 3 people, there would be 5 more bread; if there were 12 bread for every 4 people, there would be 7 less bread. How many good friends took part in the activity? How many bread did they take?
Three good friends took bread to the picnic. If there were four bread for every three people, there would be five more bread; if there were seven bread for every six people, there would be eight more bread. How many good friends took part in the activity? How many bread did they take?
Four good friends took bread to the picnic. If every two people had three bread, they would have five more bread. If every three people had five bread, they would have two more bread. How many good friends took part in the activity? How many bread did they take?

1. X days as required
120x=150*（x-3）+180
x=9
120*9=1080
2. Children
2x+5=3x-7
x=12
12/3*6-7=29
3. Children
4/3x+5=7/6+8
x=18
18/3*4+5=29
4. Children
3/2x+5=5/3x+2
x=18
18/2*3+5=32

(23 plus x) divided by 3 equals 9

(23+x)÷3=9
Multiply both sides by three
23+x=9×3
23+x=27
Subtract 23 from both sides
23+x-23=27-23
x=4

Ask two questions to fill in the blanks in the first year of junior high school
1. For a job, if Party A does it alone for 10 hours and Party B does it alone for 20 hours, then the work efficiency of Party A and Party B are__________ 、___________ Party A and Party B can work together for 2 days__________ .
2. A batch of manuscripts can be typed by Xiaofang in three hours, and by Xiaoli in two hours. Now Xiaofang leaves in an emergency after 18 minutes of typing, and Xiaoli continues to type the rest, so Xiaoli needs more__________ It's only a few hours

Fill in separately
1/10 1/20 3/10
one point eight

1+2-3-4+5+6-7-8+9+10-11-12+...+1001+1002-1003-1004=?
I want specific answers

-1004
Every four numbers are divided into a group, each group is - 4, a total of 1004 / 4 groups