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Concept explainers
To explain:
The following facts are contradictory:
The polynomial function:
Degree of polynomial:
Zeroes of polynomial functions:
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Answer to Problem 42AYU
As complex zeroes must present in the pair conjugates for the polynomial function
Explanation of Solution
Given information:
The polynomial function:
Degree of polynomial:
Zeroes of polynomial functions:
The polynomial function
Know that:
The conjugate pair theorem states that if a polynomial function
The complex conjugate is represented by
Here is polynomial of the degree
Now according the theorem if the complex number
Similarly the conjugate value
Hence the given facts are contradictory because the complex zeroes must exit in its conjugate pairs for the given polynomial function which has the real numbers as it coefficients.
Hence, given facts are contradictory.
Chapter 4 Solutions
Precalculus
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Thomas' Calculus: Early Transcendentals (14th Edition)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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