Which of the following subsets in the set of polynomials R[x] is not closed for the operation of polynomial addition?(a) {p ∈ R[x] | p(0) = }(b) {p ∈ R[x] | p' = 0 }(c) {p ∈ R[x] | p(1) = 0 }(d) {p ∈ R[x] | p(1) = p(0) }(e) R2[x]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question

Which of the following subsets in the set of polynomials R[x] is not closed for the operation of polynomial addition?
(a) {p ∈ R[x] | p(0) = }
(b) {p ∈ R[x] | p' = 0 }
(c) {p ∈ R[x] | p(1) = 0 }
(d) {p ∈ R[x] | p(1) = p(0) }
(e) R2[x]

Expert Solution
steps

Step by step

Solved in 1 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education