Let f(x) = x3+ x +4 and g(x) = 2x + 3 in Z3[x]. Then, upon dividing f(x) by g(x), we get The quotient is 4+2x+2x^2 and the remainder is 1 The quotient is 1+3x + 3x^2 and the remainder is 1 The quotient is 6 +x + 4x^2 and the remainder is 0 None of these

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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ring theory
Let f(x) = x3+ x +4 and g(x) = 2x + 3 in Z3[x]. Then, upon dividing f(x)
by g(x), we get
The quotient is 4+2x+2x^2 and the
remainder is 1
The quotient is 1+3x + 3x^2 and the
remainder is 1
The quotient is 6 +x + 4x^2 and the
remainder is 0
None of these
Transcribed Image Text:Let f(x) = x3+ x +4 and g(x) = 2x + 3 in Z3[x]. Then, upon dividing f(x) by g(x), we get The quotient is 4+2x+2x^2 and the remainder is 1 The quotient is 1+3x + 3x^2 and the remainder is 1 The quotient is 6 +x + 4x^2 and the remainder is 0 None of these
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