Talk:Synthetic division

Latest comment: 2 years ago by AltoStev in topic Redundancy

Never mind. Captain Pedant (talk) 10:09, 16 September 2013 (UTC)Reply

Reversion from hyphens to minus signs

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I'm reverting this edit. The edit summary suggests it is because negatives should be denoted with \text{-}, but I'm not so sure that's the case. \text{-} denotes a hyphen, and - inside math is both subtraction and negation. I understand that some calculators and such may provide separate symbols for each, but I believe the most common convention in LaTeX is to use - for both, and whatever the case, \text{-} is, as I said before, a hyphen (well, in Unicode, a hyphen-minus, but LaTeX will interpret it as a hyphen), not a minus or negation symbol, whatever that would be.

If nothing else, this makes the article consistent. (- is used in some places and \text{-} in others.) —Icktoofay (talk) 05:31, 25 April 2014 (UTC)Reply

Incomplete compact expanded synthetic division?

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Just wondering here, shouldn't there be a /i on the denominator side (final row, to the immediate left of the leftmost vertical line) for the example on compact expanded synthetic division for solving non-monic divisors? Also, perhaps a word or two on how to handle when the denominator is greater than the numerator in the various implementations of synthetic division (the answer becomes a reciprocal), and how to properly handle a remainder from such a synthetic division result, should one exist? --Wikispherion (talk) 00:21, 19 October 2015 (UTC)Reply

This is somewhat a late response; but you may wish to do that if it helps you. I felt I didn't need it when I provided the original instructions to the compact expanded synthetic division. However, feel free to edit in `/i`. -- Dashed (talk) 22:31, 20 June 2016 (UTC)Reply

Redundancy

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Is there a difference between Ruffini's rule and synthetic division? —Tamfang (talk) 16:47, 6 August 2020 (UTC)Reply

https://mathworld.wolfram.com/RuffinisRule.html says:
Note that Ruffini's rule is a special case of the more generalized notion of synthetic division in which the divisor polynomial is a monic linear polynomial. Confusingly, Ruffini's rule is sometimes referred to as synthetic division
 AltoStev (talk) 16:22, 13 January 2022 (UTC)Reply

GIF images

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May I suggest creating a GIF image for the general division (not just the linear / Ruffini case)?