Show that (x-1)^2 is a factor of.......?
124131
Show that $(x-1)^2$ is a factor of $x^n -nx +n-1$
31933
$x^2 = 1$ in the ring $\mathbb{Z}/n \mathbb{Z}$
109699
How to factor$ x^2+2xy+y^2 $
80144
Prove that $x-1$ divides $x^n-1$
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
20611
Inverse of a factorial
13902
Show that $\frac{1}{x_1^2}+\frac{1}{4\cdot x_2^2}+\ldots+\frac{1}{n^2\cdot x_n^2}\leq\frac{3n-2}{2n-1}$.
51804
How to show that a root of the equation $x (x+1)(x+2) ....... (x+2009) = c $ can have multiplicity at most 2?
16774
If $x,y,z\in\mathbb R\setminus \{1\}$ and $xyz=1$, prove that $\frac{x^2}{(x-1)^2}+\frac{y^2}{(y-1)^2}+\frac{z^2}{(z-1)^2}\ge 1$.
9846
Prove $n-m \mid n^r - m^r\,$ [Factor Theorem, monomial case]
41300
Show $(x+y)^a > x^a + y^a$ for $x,y>0$ and $a>1$
66558
Find the value of $a$ and $b$ if $x+1$ and $x−2$ are factors of $ax^3−4x^2+bx−12$
34374
Simplifying factorials: $\frac{(n-1)!}{(n-2)!}$
108382
Prove $x^n-1$ is divisible by $x-1$ by induction
19129
mathematical induction proof of a square vs factorial
100305
Prove $2^n-1$ is divisible by $(2^m-1)^2$ iff...
62382
I suppose $(a,m)=(a-1,m)=1$, show that $1+a+a^2+\ldots+a^{\phi(m)-1}\equiv0\pmod m$