2. In the ring F7[x], consider the polynomials f(x) = x+2x² + 1, g(x) = x³ + x Using long division of f(x) by g(x), find q(x), r(x) = F7[x] such that f(x) = q(x)g(x) + r(x), with degr(x) < deg g(x).
2. In the ring F7[x], consider the polynomials f(x) = x+2x² + 1, g(x) = x³ + x Using long division of f(x) by g(x), find q(x), r(x) = F7[x] such that f(x) = q(x)g(x) + r(x), with degr(x) < deg g(x).
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.2: Complex Solutions Of Equations
Problem 7ECP: Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.
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![2. In the ring F7[x], consider the polynomials
f(x) = x+2x² + 1,
g(x) = x³ + x
Using long division of f(x) by g(x), find q(x), r(x) = F7[x] such that
f(x) = q(x)g(x) + r(x), with degr(x) < deg g(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf4d5614-e5fa-4399-aabc-c345eeef0588%2Fc4fde0ad-3cbe-41f1-90a8-7f43562a7b18%2F2ukyl6_processed.png&w=3840&q=75)
Transcribed Image Text:2. In the ring F7[x], consider the polynomials
f(x) = x+2x² + 1,
g(x) = x³ + x
Using long division of f(x) by g(x), find q(x), r(x) = F7[x] such that
f(x) = q(x)g(x) + r(x), with degr(x) < deg g(x).
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