Does $x^2+1$ have roots in $Z_{103}[x]$?
27287
$-1$ is a quadratic residue modulo $p$ if and only if $p\equiv 1\pmod{4}$
89056
Intuitive understanding of ideal $I = (x+1,x^2+1)$ and the quotient $\Bbb Z[x]/I$
146312
Is the set of roots with respect to their values and multiplicies unique for each $g(x)$ in $a_n x^n + g(x)$?
143321
Number of roots of a polynomial over a finite field
69067
Principal $n$th root of a complex number
7954
Roots of monic polynomial over a number ring
148101
Basis for $\mathbb{Z}^2$
41312
Question on primitive roots of unity
105679
Can $\pi$ or $e$ be a root of a polynomial with algebraic coefficients?
11664
If $a_0+\frac{a_1}{2}+\dots + \frac{a_n}{n+1}=0$ then $a_nx^n+\dots + a_0$ has a root in $[0,1]$
158063
A formula for the roots of a solvable polynomial
90276
Is $\sqrt{2}\in{\Bbb Z}[\sqrt{2}+\sqrt{3}]$ true?
63409
If $x^2+ax+b=0$ has a rational root, show that it is in fact an integer
122759
Show $2+\alpha$ is a primitive root of $\mathbb{F}_{25}$.
106911
Square root of $-1$ in the ring $\mathbb{R}[x]/\langle(x^2+1)^2\rangle$
117816
Is $\frac{x^2+x}{x+1}$ a polynomial?
116616
Could $X^3 + X + 1$ have a root in $E?$