2. Determine whether x4 +x³+x² +2 and x³ +1 are congruent mod (x² + 2) in Z3[x].

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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(3.7) #2
mleg sbi
1. Determine whether or not x³ + 2x + 1 and x4 + 3x − 2 are congruent mod
(x² + 2x + 2) in Q[x].
2. Determine whether x4 + x³ +x² +2 and x³ +1 are congruent mod (x² + 2)
2
in Z3[x].
3. Prove that if c is any element in a field F, and f(x) is any polynomial in
GL 61
Transcribed Image Text:mleg sbi 1. Determine whether or not x³ + 2x + 1 and x4 + 3x − 2 are congruent mod (x² + 2x + 2) in Q[x]. 2. Determine whether x4 + x³ +x² +2 and x³ +1 are congruent mod (x² + 2) 2 in Z3[x]. 3. Prove that if c is any element in a field F, and f(x) is any polynomial in GL 61
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