For each of the following statements, if it is true explain why, and if it is not true in general, give a counter example: (a) P(x) = x² + 5x5 + 3x³ + x² − x +1 has at least 4 non-real complex roots.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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For each of the following statements, if it is true
explain why, and if it is not true in general, give a
counter example:
-
(a) P(x) = x² + 5x5 + 3x³ + x² − x +1 has at
least 4 non-real complex roots.
Transcribed Image Text:For each of the following statements, if it is true explain why, and if it is not true in general, give a counter example: - (a) P(x) = x² + 5x5 + 3x³ + x² − x +1 has at least 4 non-real complex roots.
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