New posts in Irreducible Polynomials

Which roots of irreducible quartic polynomials are constructible by compass and straightedge?

There are no integral roots of $x^4-ax^3-bx^2-cx-d=0,$ given $a>b>c>d; \;\;a,b,c,d \in \mathbb N$

Polynomials: gaining irreducibility by adding a constant

$X^4-4X^2-1$ irreducible over $\mathbb{Q}[X]$

Show the polynomial is irreducible in $\textbf Z_2$

Is $x^j+x^k+2$ irreducible whenever $j+k$ is odd?

Show that $x^4-x^2+1$ is irreducible over $\mathbb{Q}$

Prove $f(x)=x^8-24 x^6+144 x^4-288 x^2+144$ is irreducible over $\mathbb{Q}$

Is $X$ irreducible in $R[X]$?

Galois group of an irreducible , separable polynomial be abelian , then each of the roots of the polynomial generates the splitting field?