To explain the reason for which the previous two exercises do not contradict the conjugate root theorem.
Answer to Problem 25WE
The conjugate theorem is applicable when polynomial equation has real coefficients but in previous two exercises the polynomial equation has both real and imaginary coefficients therefore the conjugate root theorem is not applicable in previous two exercises.
Hence, the previous two exercises do not contradict Conjugate Root Theorem.
Explanation of Solution
Given information:
The given statement is that two exercises do not contradict the conjugate root theorem.
Conjugate Root Theorem
If a polynomial equation with real coefficient has
The conjugate theorem is applicable when polynomial equation has real coefficients but in previous two exercises the polynomial equation has both real and imaginary coefficients therefore the conjugate root theorem is not applicable in previous two exercises.
Hence, the previous two exercises do not contradict Conjugate Root Theorem.
Chapter 8 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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