How to Prove a Polynomial is Irreducible using Eisenstein's Criterion
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How to Prove a Polynomial is Irreducible using Eisenstein's Criterion
10K viewsSep 23, 2020
YouTubeThe Math Sorcerer
SOLVED: Using the Eisenstein criterion, prove that x4 x3 x2 x 1x4 x3 x2 x 1 is irreducible over the field of rational numbers.
SOLVED: Using the Eisenstein criterion, prove that x4 x3 x2 x 1x4 x3 x2 x 1 is irreducible over the field of rational numbers.
Oct 26, 2022
numerade.com
Use Eisenstein's irreducibility criterion (Problem 36.22) to sh... | Filo
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Replying to @Evan a long long time ago I made a video on Eisenstein criterion and what it tells us about which polynomials can be factored over the rationals / integers. Today I will actually formally prove this fact. This was one of those theorems that really made me fall in love with algebra when I first saw it. Algebra class has this power of always leaving me with a smile. #math #algebra #numbertheory #polynomials #discretemath
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