Consider the irreducible polynomial p(x) = x² + x + 2 e Zs[x] and consider the simple extension field Zs[a], where a is a zero of the polynomial p(x). Then (a + 2)-! = 3a +4 2a + 2 O a + 4 O None O 4a + 2 O

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the irreducible polynomial
p(x) = x² + x + 2 e Zs[x]
and consider the simple extension
field Zs[a], where a is a zero
of the polynomial p(x).
Then (a + 2)-! =
3α +4 CΟ
2α +2Ο
a + 4 O
None O
4a + 2 O
Transcribed Image Text:Consider the irreducible polynomial p(x) = x² + x + 2 e Zs[x] and consider the simple extension field Zs[a], where a is a zero of the polynomial p(x). Then (a + 2)-! = 3α +4 CΟ 2α +2Ο a + 4 O None O 4a + 2 O
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