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(a)
To find: whether the degree of the polynomial even or odd or not
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 91RE
Hence the degree of this polynomial is even.
Explanation of Solution
Given:
Calculation:
Recall that an even-degree polynomial are either pointing "up" on both ends or "down" on both ends. Hence the degree of this polynomial is even.
Conclusion:
Hence the degree of this polynomial is even.
(b)
To find:whether the leading coefficient positive or negative or not
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 91RE
Therefore the coefficient is positive .
Explanation of Solution
Calculation:
From the graph, show the beginning and the end of the graph are pointing upward,
Hence it is opening upwards, and therefore the coefficient is positive.
Conclusion:
Therefore the coefficient is positive
(c)
To find:whether the function even, odd, or neither or not
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 91RE
Hence, the function is even.
Explanation of Solution
Calculation:
Recall that an even function is defined when
Hence, the function is even.
Conclusion:
Hence, the function is even.
(d)
To find:Why
(d)
![Check Mark](/static/check-mark.png)
Answer to Problem 91RE
Thus,
Explanation of Solution
Calculation: Looking at the function, the graph touches the
Conclusion:
Thus,
(e)
To find: the minimum degree of the polynomial
(e)
![Check Mark](/static/check-mark.png)
Answer to Problem 91RE
Hence the minimum degree of the polynomial is 8.
Explanation of Solution
Calculation:
Looking at the function, the graph touches the
Conclusion:
Hence the minimum degree of the polynomial is 8.
(f)
To find:the similarities and the differences
(f)
![Check Mark](/static/check-mark.png)
Answer to Problem 91RE
The roots for one pair of term are opposite, as well as three positive and three negative roots.
Explanation of Solution
Calculation:
To come up with the polynomial, make sure each polynomial contains at aterm
Conclusion:
Therefore, the roots for one pair of term are opposite, as well as three positive and three negative roots.
Chapter 4 Solutions
Precalculus
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (3rd Edition)
- 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
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