Let F be a field and letIc F[X] be the subset of the polynomials for which -1 is a root of multiplicity > 2022. Which of the following statements are true? Select all that apply: O lu {0} is a principle ideal of the ring FX]. O IU (0} is a prime ideal of the ring F(X]. O IUFisa subring of the ring F[X]. cross out cross out cross out O I (0} is an ideal of the ring FX]. cross out O lu (0} is a maximal ideal of the ring FX]. cross out

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let F be a field and let Ic F[X] be the subset of the polynomials for which -1 is a root of multiplicity > 2022. Which
of the following statements are true?
Select all that apply:
O Iu {0} is a principle ideal of the ring F[X].
O IU {0} is a prime ideal of the ring F[X].
O IUFis a subring of the ring F'[X].
O Iu {0} is an ideal of the ring F[X].
O Iu {0} is a maximal ideal of the ring F[X].
cross out
cross out
cross out
cross out
cross out
Transcribed Image Text:Let F be a field and let Ic F[X] be the subset of the polynomials for which -1 is a root of multiplicity > 2022. Which of the following statements are true? Select all that apply: O Iu {0} is a principle ideal of the ring F[X]. O IU {0} is a prime ideal of the ring F[X]. O IUFis a subring of the ring F'[X]. O Iu {0} is an ideal of the ring F[X]. O Iu {0} is a maximal ideal of the ring F[X]. cross out cross out cross out cross out cross out
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