Concept explainers
(a)
To write: A polynomial equation of fourth degree with no positive real roots.
(a)
Answer to Problem 25E
Explanation of Solution
Given information: Critical Thinking: A polynomial equation of fourth degree with no positive real roots.
Calculation:
A simple example of a 4th degree polynomial with no positive roots would be:
(b)
To write: A polynomial equation of third degree with no negative real roots.
(b)
Answer to Problem 25E
Explanation of Solution
Given information: Critical Thinking: A polynomial equation of third degree with no negative real roots
Calculation:
Examples of 3rd degree polynomials with no negative real roots might be:
(c)
To write: A polynomial equation of third degree with exactly one positive root and exactly one negative real root.
(c)
Answer to Problem 25E
Explanation of Solution
Given information: Critical Thinking: A polynomial equation of third degree with exactly one positive root and exactly one negative real root
Calculation:
Needing a 3rd degree polynomial with exactly 1 positive and 1 negative root would mean the 3rd root must be x.
Because it is neither positive or negative.
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Precalculus (10th Edition)
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Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd Edition)
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