Find the standard form for (20x^2+11x-1)/(4x+3)?

Not sure what 'standard' form means, help would be appreciated (Happy)

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- Mar 30th 2011, 04:08 PMbrumby_3Finding the standard form of a rational function
**Find the standard form for (20x^2+11x-1)/(4x+3)?**

Not sure what 'standard' form means, help would be appreciated (Happy) - Mar 30th 2011, 04:14 PMpickslides
I'm not sure what is meant either, but maybe the requirement is to perform polynomial long division here?

I.e make $\displaystyle \displaystyle \frac{20x^2+11x-1}{4x+3} = a+\frac{b}{4x+3}$ - Mar 30th 2011, 04:19 PMbrumby_3
well after finding the standard form, I'm asked to find all straight line asymptotes (vertical, horizontal or oblique), maybe that might give a clue?

- Mar 30th 2011, 04:23 PMpickslides
Well now knowing this, my advice in post #2 is the way forward.

- Mar 30th 2011, 04:34 PMbrumby_3
How do I find a and b? Would you be able to show me an example (I've got quite a few of these to do and seeing the steps would help a lot!)

- Mar 30th 2011, 04:37 PMpickslides
Polynomial long division is the road I would take.

Follow this example

Polynomial Long Division

__Spoiler__: - Mar 30th 2011, 04:41 PMbrumby_3
Thanks a lot, I really appreciate it :)

- Mar 30th 2011, 04:47 PMpickslides
Are you aware of what this means in context of the following question about asymptotes?

- Mar 30th 2011, 04:59 PMbrumby_3
I just did all the working out for the question using the example, thanks a lot! For the asymptotes, I'm not sure how to figure them out in this form. Don't I have to find where (4x+3) is 0 so that it is infinity or something along those lines?

Is the slant/oblique asymptote just 5x-1? and I think there is no vertical or horizontal asymptotes - Mar 30th 2011, 05:51 PMpickslides