3. Let r be a root of x3 - 5x +7 = 0. In Q[r] express - 1- 7r + 2r2 a) 1+r + r2 | as a quadratic polynomial in r. 14r2 + 12r – 35 b) - 2r2 + r

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 48E
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3. Let r be a root of x³ –
5x +7 = 0. In Q[r] express
-
1- 7r + 2r2
a)
1+ r + r2
as a quadratic polynomial in r.
14r2 + 12r – 35
b)
2r2 + r
Transcribed Image Text:3. Let r be a root of x³ – 5x +7 = 0. In Q[r] express - 1- 7r + 2r2 a) 1+ r + r2 as a quadratic polynomial in r. 14r2 + 12r – 35 b) 2r2 + r
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