Monday, September 10

Easy way to divide polynomials



In mathematics, a polynomial is an expression of finite length constructed from variables (also known as indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative, whole-number exponents. For example, x^2 - 4x + 7 is a polynomial, but x^2 - 4/x + 7x^3/2 is not. (Source : Wikipedia)

Rules for Easy Way to Divide Polynomials:-

In the following easy way to divide polynomials rules

Rules 1:- In dividing polynomials many ways like as / or `-: ` or divided by.

For example,

       `5 /2` or    5 `-:` 2 or 5 divided by 2.

Rules 2:- Another method use in long division form

 For example,

            ---------------
 `x^-2`   | `x^4` + 2x -1

Example Problems for Easy Way to Divide Polynomials

Problem 1:-

Easy way to 10 divide by 2 in polynomials

Solution:

In following steps for easy way to 10 divided by 2 in polynomials

Step 1:-

       -------
    2 | 10

    In the above equation 2 is divisor and 10 is dividend. In the divisor has two decimal numbers put the value dividend of  10.

Step 2:-

           5
          -------
     2 | 10
          10
        ---------
            0
        --------

    Normally divide the values one by one .The first dividend value is less than from divisor value. So directly divided by two digits. In 2 x 5 = 10 the divisor number 2 is multiplied with 5 to get an answer 10.In 10 is equal to 10. So use the values then subtracts the value and get remainder is 0.

 Problem 2:-

Easy way to 20 divide by 2 in polynomials

Solution:

In following steps for easy way to 20 divided by 2 in polynomials

Step 1:-

       -------
    2 | 20

    In the above equation 2 is divisor and 20 is dividend. In the divisor has two decimal numbers put the value dividend of  20.

Step 2:-

          10
          -------
      2 | 20
          20
        ---------
           0
        ---------

     Normally divide the values one by one the right value has 0 means directly divided by two digits. In 2 x 10 = 20 the divisor number 2 is multiplied with 10 to get an answer 20.In 20 is equal to 20. So use the values then subtracts the value and get remainder is 0.

Problem 3:-

Easy way to 30 divide by 2 in polynomials

Solution:

In following steps for easy way to 30 divided by 2 in polynomials

Step 1:-

         -------
       2| 30

    In the above equation 2 is divisor and 30 is dividend. In the divisor has two decimal numbers put the value dividend of 30.

Step 2:-

          1
        -------
     2| 30
         2
       -------
         10
       --------

     In 2x1 = 2 the divisor number 2 is multiplied with 1 to get an answer 2. In 2 is less than from 3. So use the values then subtracts the value and to get an answer as 1.

Step 3:-

          15
        -------
     2| 30
         2
       -------
         10
         10
       --------
          0
       --------

      In 2x 5 = 10 the divisor number 2 is multiplied with 5 to get an answer 10. In 10 is equal to10. So use the values then subtracts the value and get remainder is 0.

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