Determine all values of a for which the following set of polynomials is dependent or independent. You can select 'always', 'never', 'a= ', or 'a: separated list of values. |−3x³−3x²+x+a, 5x³+6x²+2x−1, −10x³-9x²+7x+4 Dependent: Always

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 11E: 11. a. List all the polynomials in that have degree 2. b. Determine which of the polynomials in...
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Determine all values of a for which the following set of polynomials is dependent or independent. You can select 'always', 'never', 'a = ', or 'a ‡', then specify a value or comma-
separated list of values.
−3x³−3x²+x+a, 5x³+6x²+2x−1, −10x³−9x²+7x+4
Dependent: Always
Independent: Always
Transcribed Image Text:Determine all values of a for which the following set of polynomials is dependent or independent. You can select 'always', 'never', 'a = ', or 'a ‡', then specify a value or comma- separated list of values. −3x³−3x²+x+a, 5x³+6x²+2x−1, −10x³−9x²+7x+4 Dependent: Always Independent: Always
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