polynomial long division
Given two polynomials and polynomial (long) division is a method for calculating that is, finding the polynomials and such that .
Here is an example to show the method.Let and . The method looks very similar to integer division since a polynomial is somewhat similar to an integer
In the initial setting we only write the coefficients, notice that . It will then be
In the next step we se that and we multiply 1 3 -2 with 1 and then subtract the result.
Then we move down the next number, in this case a zero, and so we get -5, and multiply by -5 and subtract
as a final result we get
The result is , which translates to and .
It is also possible to write the entire polynomial, that is, writing all the ’s. Like this
Title | polynomial long division |
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Canonical name | PolynomialLongDivision |
Date of creation | 2013-03-22 14:19:59 |
Last modified on | 2013-03-22 14:19:59 |
Owner | rm50 (10146) |
Last modified by | rm50 (10146) |
Numerical id | 7 |
Author | rm50 (10146) |
Entry type | Definition |
Classification | msc 12D05 |
Related topic | LongDivision |