Perform the indicated operations and simplify your answer: (a) (3x4 + 2x3 − 4x2 + x + 4) + (4x3 + x2 + 4x + 3) in Z5[x]. (b) (x + 1)3 in Z3[x]. (c) (x − 1)5 in Z5[x]. (d) (x2 − 3x + 2)(2x3 − 4x + 1) in Z7[x].

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter0: A Review Of Basic Algebra
Section0.4: Polynomials
Problem 61E
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Perform the indicated operations and simplify your answer:
(a) (3x4 + 2x3 − 4x2 + x + 4) + (4x3 + x2 + 4x + 3) in Z5[x].
(b) (x + 1)3 in Z3[x].
(c) (x − 1)5 in Z5[x].
(d) (x2 − 3x + 2)(2x3 − 4x + 1) in Z7[x].

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