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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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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