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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.

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.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 74E
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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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