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bio website stackoverflow.com/users/…
location Chelmsford, United Kingdom
age 33
visits member for 1 year, 11 months
seen May 16 at 18:09
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Currently looking for a junior C# development position within Chelmsford or London.

john.hartley4 [AT] gmail [DOT] com


Jul
23
awarded  Scholar
Jul
23
accepted Why can/do we multiply all terms of a divisor with polynomial long division?
Jul
23
comment Why can/do we multiply all terms of a divisor with polynomial long division?
Ah, now that makes complete sense. I think that was probably what I couldn't understand all along. I went back over the 48 / 28 problem and realised that I'd get 1 + (20 / 28). Writing that as (4 * 10 + 8) / (2 * 10 + 8) gives 2 - (8 / 28). Then I realised they are the same answer, expressed differently. I can't thank you enough for your help.
Jul
22
comment Why can/do we multiply all terms of a divisor with polynomial long division?
Thank you, too, for your answer and again, I'm sorry it's taken such a long time for me to reply. I like that you've given me a completely different way to view the problem.
Jul
22
comment Why can/do we multiply all terms of a divisor with polynomial long division?
I can see that it rebalances, but I'd like to understand how someone developed this method, assuming this was created for real numbers first, and realising it would work like this algebraically. The result is the same but the rebalancing by having a negative remainder seems very different to the method for real numbers (at least to me).
Jul
22
comment Why can/do we multiply all terms of a divisor with polynomial long division?
Thank you for your answer. Sorry for my delayed reply but I've been snowed under since I asked my question. Whilst your answer has helped me, I've found this part confusing: Now think of 28 as 2*10+8. Same operations hold. I tried something similar so I feel like I'm on the right track, but it's not clicking for me. To keep it simple, I tried 48 / 28, written as (4 * 10 + 8) / (2 * 10 + 8). Working that problem gives me 2 - (8 / 2 * 10 + 8). I can see that it works, but I can also see that we've divided by more than what we originally had.
Jul
13
asked Why can/do we multiply all terms of a divisor with polynomial long division?
Apr
6
awarded  Autobiographer
Feb
18
comment Why negative times negative = positive?
Simple and just what I needed. Thank you.
Feb
16
awarded  Supporter