Concept explainers
To make a list for the six possibilities nature of roots of a cubic equation with real coefficients.
Answer to Problem 26WE
The number of roots in the cubic equation is three and there can be six possibilities which is listed below.
Number of Positive real roots | Number of negative real roots | Number of Imaginary roots |
3 | 0 | 0 |
2 | 1 | 0 |
1 | 2 | 0 |
1 | 0 | 2 |
0 | 3 | 0 |
0 | 1 | 2 |
Explanation of Solution
Given information:
The given statement is that there can be six possibilities for the nature of the roots of a cubic equation with real coefficients.
Calculation :
The number of roots in the cubic equation is three and there can be six possibilities which is listed below.
Number of Positive real roots | Number of negative real roots | Number of Imaginary roots |
3 | 0 | 0 |
2 | 1 | 0 |
1 | 2 | 0 |
1 | 0 | 2 |
0 | 3 | 0 |
0 | 1 | 2 |
Chapter 8 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Graphical Approach To College Algebra
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
PREALGEBRA
Elementary and Intermediate Algebra
College Algebra (5th Edition)
College Algebra (10th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education