The polynomial f(x) = x - ix? + 2ix + 2 has the com- plex number i as a zero; however, the conjugate -i of i is not a zero. Why doesn't this result contradict the theorem on conjugate pair zeros of a polynomial?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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The polynomial f(x) = x - ix? + 2ix + 2 has the com-
plex number i as a zero; however, the conjugate -i of i is
not a zero. Why doesn't this result contradict the theorem on
conjugate pair zeros of a polynomial?
Transcribed Image Text:The polynomial f(x) = x - ix? + 2ix + 2 has the com- plex number i as a zero; however, the conjugate -i of i is not a zero. Why doesn't this result contradict the theorem on conjugate pair zeros of a polynomial?
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