Concept explainers
Determine the number of rational and irrational zeroes of the polynomial function
- Rational zeros: 0 ; Irrational zeros: 1
- Rational zeros: 3 ; Irrational zeros: 0
- Rational zeros: 1 ; Irrational zeros: 2
- Rational zeros: 1 ; Irrational zeros: 0
Answer to Problem 82E
Option A
Explanation of Solution
Given:
Function:
Formula used:
Calculation:
To find zeros, put
Now, consider
The above polynomial is a second degree polynomial.
Discriminant
Here, the value of discriminant is less than zero.
So, zeros does not exists for above second degree polynomial.
Hence, zeros of given function is
So, the number of rational zeros are 0 and number of irrational zeros are 1.
The values mentioned above matches with option A.
Conclusion:
Therefore, option A is correct.
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