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The wikipedia example of Polynomial Long Division starts with:

Divide the first term of the numerator by the highest term of the denominator

if the denominator is $x-3$, and we don't know $x$, how to know which is highest? $x$ or $3$?

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    @David Kohler: +1 great idea. I did little bit, but it can still be improved.2011-04-01

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"highest" here means not "greatest", but the one with the highest power of $x$ (which in this case is $x$).

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    that is, the "highest-degree" term2011-04-10