exercise 1.6. let m > 1. Let P e (Z/mZ)[x]. We consider the map Z/mZ → Z/mZ, TH P(T). Compute P(7) for all x, in the following cases: (i) m = p prime number, P = xP – x. (ii) m = 3, P = x²7 – x + 1. (iii) m = 5, P = x125 – 1.
exercise 1.6. let m > 1. Let P e (Z/mZ)[x]. We consider the map Z/mZ → Z/mZ, TH P(T). Compute P(7) for all x, in the following cases: (i) m = p prime number, P = xP – x. (ii) m = 3, P = x²7 – x + 1. (iii) m = 5, P = x125 – 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
please quickly !!!! thanks !!!!
![exercise 1.6. let m > 1. Let P E (Z/mZ)[r]. We consider the map
Z/mZ → Z/mZ, TH P(T).
Compute P(T) for all x, in the following cases:
() т %3Dрprimе питber,
P = xP – x.
(iї) т — 3, Р%3D 127 — х + 1.
(iї) т %3D 5, Р%3D г125 — 1.
= x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5092d283-37fd-4762-962c-92db43347004%2Fd4a35074-76fe-4cb4-bd11-36e94f98378f%2Foccjht_processed.png&w=3840&q=75)
Transcribed Image Text:exercise 1.6. let m > 1. Let P E (Z/mZ)[r]. We consider the map
Z/mZ → Z/mZ, TH P(T).
Compute P(T) for all x, in the following cases:
() т %3Dрprimе питber,
P = xP – x.
(iї) т — 3, Р%3D 127 — х + 1.
(iї) т %3D 5, Р%3D г125 — 1.
= x
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
