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]

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,...

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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]

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