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The set of all polynomials of the form at³ + bt² + ct + d + 1 where, a, b, c, d are any real numbers, is not closed under addition but is closed under scalar multiplication. Select one: True False

The set of all polynomials of the form at³ + bt² + ct + d + 1 where, a, b, c, d are any real numbers, is not closed under addition but is closed under scalar multiplication. Select one: True False

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.1: Definition Of A Ring
Problem 44E: 44. Consider the set of all matrices of the form, where and are real numbers, with the...
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The set of all polynomials of the form at³ + bt² + ct + d + 1 where, a, b, c, d are any real numbers, is not closed under addition but is closed under scalar multiplication. Select one: True False
Transcribed Image Text:The set of all polynomials of the form at³ + bt² + ct + d + 1 where, a, b, c, d are any real numbers, is not closed under addition but is closed under scalar multiplication. Select one: True False
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