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f13-t3-a4.pdf
Preview of Polynome in F3[X]
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F13-T3-A4
a) Sei F3 der Körper mit drei Elementen. Man bestimme alle normierten, irreduziblen Polynome mit Grad ≤2 in F3[X].
Die irreduziblen Polynome in F3[X] mit Grad ≤2 sind also {X, X −1, X −2, X2 + 1, X2 + X + 2, X2 + 2X + 2}.
b) Ist X4 + 9X2 −2X + 2 in Q[X] irreduzibel?
P(X) ≡ X4 + X + 2 ∈F3[X] ist irreduzibel, also ist P irreduzibel in Q[X] nach dem Reduktionskriterium.

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Description

F13-T3-A4
a) Sei F3 der Körper mit drei Elementen. Man bestimme alle normierten, irreduziblen Polynome mit Grad ≤2 in F3[X].

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  • File Format: PDF
  • File Size: 97 KB
  • Pages: 1
  • Language: DE
  • Total Downloads: 51
  • Last Updated: 2 days ago

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