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# Remainder Theorem Difficult Question

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1. Write $(x-2)/(x-3)$ in the form $a+ \frac{1}{x+b}$
2. (Original post by CIEBioloysifh)
Write $(x-2)/(x-3)$ in the form $a+ \frac{1}{x+b}$
(x-2) = (x-3) + 1
Can you see what to do from there?
3. (Original post by CIEBioloysifh)
Write $(x-2)/(x-3)$ in the form $a+ \frac{1}{x+b}$
Force (x-3) into the numerator and then split the fraction.
4. I think it would be helpful if you rewrite it in terms of y, where y = x-3, and then turn it back afterwards. So you get:

5. (Original post by CIEBioloysifh)
Write $(x-2)/(x-3)$ in the form $a+ \frac{1}{x+b}$
Spoiler:
Show

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