Does the Division of s^4 by (4s^4 + 1) Work?

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SUMMARY

The division of s^4 by (4s^4 + 1) is confirmed to work through long division. The calculation yields a result of 1/4 - (1/4)/((4s^4) + 1). This method is consistent with the approach used for dividing s^4 by (s^4 + 1). Participants in the discussion affirm the reliability of long division for this type of polynomial division.

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xiaoB
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Does it work ?

Exp: (s power of 4) over (4 times s power of 4 plus 1)

s^4
----------
(4S^4)+1

LONG DIVISION :
1/4
_______
4S^4+1√s^4
s^4+1/4
---------
-1/4

The ans: 1/4 -(1/4)/((4s^4)+1)
 
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welcome to pf!

hi xiaoB! welcome to pf! :smile:

(try using the X2 icon just above the Reply box :wink:)

yes, long division always works :wink:

in fact, that is the way we calculate s4/(s4 + 1) ! :smile:
 
Hallo! tiny-tim.

Thank you very much. ^^
 

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