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swissgirlBest ResponseYou've already chosen the best response.0
$${x^2+3x+2 \over x^2x+1}$$
 one year ago

swissgirlBest ResponseYou've already chosen the best response.0
Like I sooo dont follow the process although everyone seems to say that it is simple
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
continued fraction is simple, i spose this would follow its pattern
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
...if i could recall how to do a continued fraction that is. i seem to have had misremembered the simple details :)
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
\[\frac{5}{12}=\frac{1}{\cfrac{12}{5}}=\cfrac{1}{2+\cfrac25}=\cfrac{1}{2+\cfrac1{\cfrac52}}=\cfrac{1}{2+\cfrac1{2+\frac12}}\]stuff
 one year ago

estudierBest ResponseYou've already chosen the best response.0
This is something new, I think. A variant on polynomial division?
 one year ago

swissgirlBest ResponseYou've already chosen the best response.0
Right but how would u clean everything up in the end. Like the answer doesnt look like an escalator in my book
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
hmm, how does it look in your book?
 one year ago

swissgirlBest ResponseYou've already chosen the best response.0
I do think its a variation of polynomial division The answer is $$1+{4 \over x \frac{5}{4}} +{ \frac{21}{16} \over x + \frac{1} {4}}$$
 one year ago

estudierBest ResponseYou've already chosen the best response.0
I guess it's poly division as opposed to the usual integer division. It's not that clear how u get rid of the escalator, though....
 one year ago

estudierBest ResponseYou've already chosen the best response.0
Oh, I see...it stops pretty quickly and then you just add up the terms. So 1 + 1 over (blah above) and actually flipping it over so to speak...
 one year ago
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