Factor into irreducibles:X^2 − 7 in R[X];X^2 − 7 in Q[X];2X^3 + X^2 + 2X + 2 in Z5[X];X^4 + X^2 + 1 in Z3[X].
Factor into irreducibles:X^2 − 7 in R[X];X^2 − 7 in Q[X];2X^3 + X^2 + 2X + 2 in Z5[X];X^4 + X^2 + 1 in Z3[X].
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 59E
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Question
Factor into irreducibles:
X^2 − 7 in R[X];
X^2 − 7 in Q[X];
2X^3 + X^2 + 2X + 2 in Z5[X];
X^4 + X^2 + 1 in Z3[X].
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