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Topic: Polynomial (not quite) division
Replies: 13   Last Post: Jan 16, 2014 11:07 AM

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 William Elliot Posts: 2,637 Registered: 1/8/12
Re: Polynomial (not quite) division
Posted: Jan 16, 2014 5:05 AM

>
> (1 + x^-2)(x^3 + 1) = x^3 + x + 1 + x^-2
>
> Now if I were to use the standard polynomial division algorithm (I
> appreciate that x^-2 + 1 is not a polynomial) to work out
>
> (x^3 + x + 1 + x^-2) / (x^3 + 1)

= (x^5 + x^3 + x^2 + 1)/(x^5 + x^2)
= 1 + (x^3 + 1)/(x^5 + x^2)
= 1 + (x^3 + 1)/(x^2 (x^3 + 1)) = 1 + x^-2

Date Subject Author
1/15/14 hockleymitchell@gmail.com
1/15/14 fom
1/15/14 hockleymitchell@gmail.com
1/15/14 Martin Shobe
1/15/14 fom
1/15/14 Ken.Pledger@vuw.ac.nz
1/16/14 William Elliot
1/16/14 hockleymitchell@gmail.com
1/16/14 Leon Aigret
1/16/14 Martin Shobe
1/16/14 Pubkeybreaker
1/16/14 Martin Shobe
1/16/14 Pubkeybreaker
1/16/14 Martin Shobe