How to use polynomial division, how to calculate polynomial division polynomial

Use vertical lines, like number division, and the rest of the items are not divided.

x+3+(7x-6)/(x^2-3*x+2)x^2-3*x+2=(x-2)*(x-1),1/(x^2-3*x+2)=1/[(x-2)*(x-1)]=1/(x-2)-1/(x-1)

8 (x+2)-1 (x-1) is wrong and should be 8 (x-2)-1 (x-1).

If you find the result of x 3 (x 2-3*x+2), then is it easier to follow the steps below? If there is, then please give a few examples.

x^3/(x^2-3*x+2)

x^2-3*x+2)

x+3+7/(x+2)+1/(x^2-3*x+2)

x+3+8/(x+2)-1/(x-1)

Use vertical lines, like number division, and the rest of the items are not divided.

x+3+(7x-6)/(x^2-3*x+2)

x^2-3*x+2=(x-2)*(x-1),1/(x^2-3*x+2)=1/[(x-2)*(x-1)]=1/(x-2)-1/(x-1)

8 (x+2)-1 (x-1) is wrong and should be 8 (x-2)-1 (x-1).

Decompose factors when they are not particularly perfectly squared.

The polynomial division polynomial algorithm is as follows:

1. Arrange the divided, divided, and divided expressions according to a certain letter to the power of a certain letter, and fill in the missing items with zero.

2. Use the first term of the dividing formula to remove the first term of the dividing formula, and the first term of the quotient formula.

3. Use the first term of the business formula to multiply and divide, write the product below the divided formula (alignment of similar terms), and subtract this product from the divided formula.

4. Take the difference subtracted as the new divided, and then continue to calculate according to the above method until the remainder is zero or the number of the remainder is less than the number of divisions.

Expand your knowledge: The informant.

1. Formula: divided = divided quotient + remainder.

2. If a polynomial is divided by another polynomial and the balance is zero, it is said that this polynomial is divisible by another polynomial.

3. Polynomial division is a type of division, commonly known as long division. It is suitable for division of integers, decimal divisions, polynomial divisions (i.e., factorization), etc., which pay more attention to the calculation process and quotient, and use both multiplication and subtraction in the process.

4. Arrange the divided, divided, and divided by a certain letter as a reduced power, and fill in the missing items with zero.

5. It is an algorithm in algebra that uses a polynomial of the same or lower order to remove another polynomial.

6. It is a generalized version of the common arithmetic technique of long division. It can be easily hand-calculated because it breaks down a relatively complex division problem into smaller problems.

This problem can be simplified by the division of polynomials, but this polynomial cannot be reduced to an integer polynomial, only to the sum of an integer polynomial and a fractional polynomial, but you can understand the division of polynomials, and the simplification process is as follows:

1. The division process of polynomials is similar to that of numbers, provided that polynomials are completed according to the principle of decreasing numbers, and the missing terms are made up according to the coefficient of zero

2. Observe the maximum maturity coefficient of dividends and eliminate the maximum maturity of the appropriate quotient. The first quotient is 2, which means that the fourth power term is eliminated:

3. After the fourth power term is eliminated, the coefficient of the third power term is zero, then the quotient is zero

4. Finally, the quadratic term is eliminated, and the remaining quadratic term coefficient is -1, so the quotient is -1:

5. After elimination, the remainder is 4, which means that the original fractional polynomial can be reduced to the following:

6. The results of the simplification after fractional decomposition are as follows:

Let's talk about the elementary transformation of this integrand:

FYI. In fact, it is easier to find this integral by substituting a simple variable.

For reference, please smile.

How to divide the division of polynomials Answer analysis See more high-quality analysis First power arrangement, what can be decomposed is decomposed, and what can't be decomposed is mentioned as a common factor, I hope it will be useful to you Can't understand the analysis? Free view of similar questions**Analysis View answers More answers (1)...

June 11, 2017 - Division of polynomials. ppt 20 pages The rest of the letters, along with its exponent, remain unchanged as the factor of the product. Division is the inverse of multiplication 2

Think about it: how do you divide an integer? 2.

Think about it: how do you divide an integer? .

April 26, 2012 - Activity 2: Fill in the information: According to the meaning of division, when calculating (am+bm+cm) m, it is required that the product of a polynomial multiplied by m is equal to am+bm+cm.

am+bm+cm)m=Activity 3: Discuss and discussthrough above.

Take the first item x of the quotient and write it in part of 20. (5) Use 20 again, which is the second term of the quotient, written after the first term x, written in the form of algebraic sum. Multiply to get 20, which is written below the difference of 20 above.

7) Subtract to a difference of 0, which means that it can be divided exclusively. (8) Write out the result of the operation, fill in or vacate.

March 6, 2021 - Applies to integer division, decimal division, polynomial division (i.e., factoring BAI) and other computational processes that are more important. Let's just say that this polynomial is divisible by another polynomial, and the main thing is to find the divider, and the skill can only be used.

Dividing a polynomial by a polynomial is generally calculated vertically.

1) Divide the divided, divide by a certain letter to the power of the arrangement, and the missing term with zero to make up (2) Use the first term of the divided formula to divide the first term of the division formula to get the first term of the quotient (3) Use the first term of the quotient to multiply and divide, write the product below the divided formula (alignment of similar terms), eliminate the equal terms, and combine the unequal terms

4) Take the difference subtracted as a new divided, and then continue to calculate according to the above method until the remainder is zero or the number of remainders is less than the number of divisions, the divided=dividing quotient + remainder. If the remainder is zero, the polynomial is divisible by another polynomial.