Let F be a commutative ring with identity and let f(x) E F[x] be a polynomial of degree 4. Which of the following statements is true: f(x) has exactly 4 roots counting multiplicity. f(x) has exactly 4 distinct roots O f(x) has at most 4 roots. O None

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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Let F be a commutative ring with identity and let f(x) E F[x] be_a
polynomial of degree 4. Which of the following statements is true:
f(x) has exactly 4 roots counting
multiplicity.
f(x) has exactly 4 distinct roots
O f(x) has at most 4 roots.
O None
Transcribed Image Text:Let F be a commutative ring with identity and let f(x) E F[x] be_a polynomial of degree 4. Which of the following statements is true: f(x) has exactly 4 roots counting multiplicity. f(x) has exactly 4 distinct roots O f(x) has at most 4 roots. O None
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