2. For the following polynomials, determine if they are irreducible in Q[x]. If they are not, gve a factorization. You may need Eisenstein's criterion (see other side). (a) x²-3x³-x² + 4x - 3 (b) 4x³+x-6 (c) 3x³ - 14x +49x³ - 21
2. For the following polynomials, determine if they are irreducible in Q[x]. If they are not, gve a factorization. You may need Eisenstein's criterion (see other side). (a) x²-3x³-x² + 4x - 3 (b) 4x³+x-6 (c) 3x³ - 14x +49x³ - 21
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.6: Multiplying Polynomials
Problem 49WE
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Please do not answer in hand written and answer all three subparts
![2. For the following polynomials, determine if they are irreducible in Q[x]. If they are not, gve a factorization.
You may need Eisenstein's criterion (see other side).
(a) x²-3x³-x² + 4x - 3
(b) 4x³+x-6
(c) 3x5 14x4 +49x³ - 21
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F306544d4-bfab-472e-b269-53a01660a688%2Fd68ee5a0-0e55-47d9-86fe-62b3ae561bb5%2F6g6ol9t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. For the following polynomials, determine if they are irreducible in Q[x]. If they are not, gve a factorization.
You may need Eisenstein's criterion (see other side).
(a) x²-3x³-x² + 4x - 3
(b) 4x³+x-6
(c) 3x5 14x4 +49x³ - 21
-
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