What is polynomial division

Euclidean Department

Summary :

With the function euclidean_department you can calculate online the quotient and the remainder of the Euclidean division of two polynomials or two whole numbers.

euclidean_department online

Description :

The calculator with the function euclidean_department enables the Euclidean division of polynomials online. The function can be like a calculator euclidean_department perform the Euclidean division of two integers online.

A and B are two Polynomials, So that the Euclidean Department from A through B is like finding polynomials Q and R such that A = BQ + R of degree R.< grad="" b.="" wenn="" r="0" ist,="" dann="" sagen="" wir,="" dass="" b="" a="" teilt.="" diese="" operation="" wird="" manchmal="" als="" division="" nach="" abnehmender="" leistung="" bezeichnet.="">

To do the Euclidean division on the calculator, simply enter the polynomials and apply the euclidean_department function to them. To the Euclidean division from two polynomials like doing the following: `1 + x + x ^ 2` and` x`, so you have to enter Euclidean_department (`x ^ 2 + x + 1; x`) or directly x ^ 2 + x + 1; x, if the button Euclidean_department already appears, the result `{x ^ 2 + x + 1 = x * (1 + x) +1}` is output. The quotient the Euclidean division is therefore 1 + x and the rest is 1.

a and b two Integers are so the Euclidean Department from a through b is to find integers q and r such that a = bq + r with r < b.="" wenn="" r="0" ist,="" sagen="" wir,="" dass="" b="" a="" teilt,="" q="" ist="" der="" quotient="" und="" r="" ist="" der="" rest="" der="" division.="">

To do the Euclidean department with the calculator, just enter the two integers and apply the euclidean_department function. So to the Euclidean division of two integers to perform as follows: `19` and` 3`, you have to enter Euclidean_department (`19; 3`) or directly 19; 3, if the button Euclidean_department already appears, the result will be` {19 = 3 * 6 + 1} ` returned. The quotient is therefore equal to 6 and the rest the Euclidean division equals 1.


With the function euclidean_department you can calculate online the quotient and the remainder of the Euclidean division of two polynomials or two whole numbers.

Syntax:

  • For polynomial divisions
    • euclidean_department (polynomial; polynomial)
    • or
    • euclidean_department (polynomial / polynomial)
  • For integer divisions
    • euclidean_department (integer; integer)
    • or
    • euclidean_department (integer / integer)

Examples:

Calculate online with Euclidean_department (Euclidean department)