Zeros of quaternion polynomials
✍
R. Serôdio; Lok-Shun Siu
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Article
📅
2001
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Elsevier Science
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English
⚖ 147 KB
It is well known that, over a division ring, every zero of a polynomial f(x) = (:rxl) •.. (x -xn) is congruent to Xr for some r. In this note, we show further that, over the quaternion field, there exists at least one quaternion qr congruent to each x~, and that, through this result, a constructive