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May 28, 2018 at 23:57 comment added Jeff Strom @AliTaghavi Because $\mathbb{H}$ is not commutative, you can't always collect all the terms of the form $a_0q a_1 q a_2\cdots a_{n-1}q a_n$ (with $a\in \mathbb{H}$) into a single term of the form $a q^n$.
May 28, 2018 at 7:27 comment added Ali Taghavi What do you mean by "provided it has only one highest degree"? do you mean the highest term would not be in the form $aq^n+q^nb$? What can be said about such kind polynomials?Do they have always roots?
Oct 17, 2010 at 13:54 history answered Jeff Strom CC BY-SA 2.5