Concept explainers
True/False: A fourth degree polynomial with real coefficients can have
Answer to Problem 162RE
False. A fourth degree polynomial with zeroes
Explanation of Solution
Given information:
A fourth degree polynomial with zeroes
Consider a fourth degree polynomial
Let the zeroes of this polynomial be:
These zeroes can be represented as:
Also, the product of these roots should give
Rearranging the terms,
Multiplying the terms,
From Equation 1,
On comparing the coefficients of the polynomial,
Clearly, the coefficients
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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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