Concept explainers
To verify: The function
Explanation of Solution
Given information:
The function
Formula used:
Complex zeros of polynomial functions are imaginary numbers that cannot be plotted or represented on the graph.
To prove that the roots are the complex zeros of a polynomial function, then substitute the given roots in the function and the value of function should come out to be zero.
The value of the imaginary number iota (i) is
Proof:
Consider the function,
Substitute
Now, substitute
Substitute
Now, substitute
Since, all the roots give value of the function as zero; thus, it is verified that given roots
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning