Answered: degree 2 or more in R.

Math

Advanced Math

degree 2 or more in R.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 55E

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If R= Z[x], f(x) = x² +1, and g(x) = a₀+a₁x+...+a_nxⁿ is a polynomial of degree 2 or more in R.

How do you prove that g(x) is congruent to g(x)-a_nxⁿ-a_nx^n-2 mod I?

I is the principal ideal generated by f(x)

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