If one root is in then all roots are in
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?
68275
Primitive Root Theorem Proof
47356
If : $\tan^2\alpha \tan^2\beta +\tan^2\beta \tan^2\gamma + \tan^2\gamma \tan^2\alpha + 2\tan^2\alpha \tan^2\beta \tan^2\gamma =1\dots$
47949
If $a$ and $b$ are two roots of $x^4 + x^3 - 1 = 0$ prove that $ab$ is a root of $x^6 + x^4 + x^3 - x^2 - 1$.
3301
If $AB = I$ then $BA = I$
2519
Finding double root. An easier way?
72410
If $\alpha_1,\alpha_2,\ldots,\alpha_n$ be the roots of the equation $x^n+1$
41312
Question on primitive roots of unity
114872
If $ax^2-bx+c=0$ has two distinct real roots lying in the interval $(0,1)$ $a,b,c$ belongs to natural prove that $\log_5 {abc}\geq2$
106030
Find all the positive integer
144769
Distinct roots of $ax^2-bx+c=0$ in $(0,1)$, where $a,b,c\in \mathbb{Z}^+$
44013
How many trees over ${1,2,3,...n}$ with conditions
146294
Find all positive integers $a,b$ such that each of the equations $x^2-ax+b=0$ and $x^2-bx+a=0$ has distinct positive integral roots.
40107
primitive n-th roots of unity
56697
How to show that the given equation has at least one complex root ,a s.t |a|>12
122612
An integer is a $n$'th power if that holds true for all moduli.
2408
Show that a polynomial has at least one positive solution/root.