Partial Fractions Question (1 Viewer)

iStudent

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How would you do it for this?



Textbooks only teach you the repeated linear factors. But what about the non-linear ones?

Someone please clear this up for me

Thanks :)
 

Kurosaki

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Hmm for something like this, maybe try first splitting it into

After this, for the second fraction, notice Bx(x^2+1)=Bx^3+Bx, and do the same for the other ones, and rearrange these expressions so that you get some nice fractions that cancel out.
So eventually, in the numerator of the second fraction, you get a (x^2+1) term that cancels out with the denominator, and you get a new fraction..then split that resultant fraction as necessary.
 
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iStudent

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Ahh thanks
so you resolve it into
A/x+1 + (Bx+C)/(x^2+1) + (Dx+E)/(x^2+1)^2
Then solve these with the original equation using simultaneous
I see. I finally get why they do that (teacher just told us to split it into multiple fractions but never explains)
:)
 

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