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Determinant Polynomial irreducible

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#abstract-algebra #polynomials #ring-theory #irreducible-polynomials
138
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Proof on irreducibility of the determinant polynomial

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#abstract-algebra #polynomials #ring-theory #irreducible-polynomials
90
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Applying Eisenstein's criterion to $x^3 + x^2 − 2x − 1$?

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#elementary-number-theory #polynomials #irreducible-polynomials
151
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Show that the sum of two conjugate complete sets is conjugate complete

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#abstract-algebra #roots #irreducible-polynomials #transcendental-numbers
65
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Reducibility of a rational polynomial with two identically complex root

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#linear-algebra #polynomials #irreducible-polynomials
57
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Prove certain polynomials are irreducible in $\mathbb{Q}[X]$

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#abstract-algebra #polynomials #ring-theory #irreducible-polynomials #rational-numbers
64
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If $p(x)\leq 1$ for $x\in [-1,1]$ find the greatest value of $\int_{-1}^{1}p(x)dx$

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#algebra-precalculus #polynomials #irreducible-polynomials
71
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Polynomial division over different fields

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#abstract-algebra #polynomials #irreducible-polynomials #galois-extensions
45
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If $f(x) \in K[x]$ and $g(x) \notin K[x]$, can $f(x)g(x) \in K[x]$?

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#abstract-algebra #polynomials #irreducible-polynomials
123
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Find all prime polynomials

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#polynomials #prime-numbers #irreducible-polynomials
111
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On isomorphism of two quotient of polynomial rings

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#abstract-algebra #ring-theory #irreducible-polynomials #unique-factorization-domains
46
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Use of the Eisenstein Criterion

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#irreducible-polynomials
61
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More than 5 but less than 50 rational solutions

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#algebraic-geometry #systems-of-equations #irreducible-polynomials #rational-numbers
125
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Generic polynomial and irreduciblity.

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#abstract-algebra #polynomials #field-theory #galois-theory #irreducible-polynomials
172
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Extension Galois field, multiplication of elements

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#polynomials #finite-fields #irreducible-polynomials

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