Concept explainers
(a)
the product of factors that are irreducible over the rationals.
(a)
Answer to Problem 52E
The polynomial as a product of factors that is irreducible over rationales
Explanation of Solution
Given information:
The given polynomial function as following below,
Formula used:
Factors are used
Calculation:
Let us assume the above polynomial is an in terms of
Now the above equation is
Therefore,
Hence the polynomial as a product of factors that is irreducible over rationales
Conclusion:
The polynomial as a product of factors that is irreducible over rationales
(b)
The product of linear and quadratic factors that are irreducible over the real’s.
(b)
Answer to Problem 52E
The polynomial as a product of factors that is irreducible over rationales
Explanation of Solution
Given information:
The given polynomial function as following below,
Formula used:
The factor is equated to zero
Calculation:
Similarly take from the part (a) is
To get the real solution put
Therefore,
Hence the polynomial as a product of factors that is irreducible over rationales
Conclusion:
The polynomial as a product of factors that is irreducible over rationales
(c)
The factored form.
(c)
Answer to Problem 52E
The polynomial in complete factored form is
Explanation of Solution
Given information:
The given polynomial function as following below,
Formula used:
The polynomial both irreducible over real and rationales
Calculation:
As we have already discussed the factor of the polynomial both irreducible over real and rationales. So the polynomial in complete factored form is
Conclusion:
The polynomial in complete factored form is
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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