A quiz question in elementary number theory about division by polynomials
12100
$n \mid (a^{n}-b^{n}) \ \Longrightarrow$ $n \mid \frac{a^{n}-b^{n}}{a-b}$
87740
Pigeonhole Principle about division
55437
When does $2^{n}$ divide $3^{n}-1$
81267
A simple doubt in number theory problem.
126816
Question of remainder on dividing by 7
24000
Roots of Sum of Two Polynomials (with Known Roots)
76126
How to find the GCD of two polynomials
77076
Proof that $(x-1)^2$ divides a $nx^{n+1} – (n+1)x^{n}+1$
26189
How to find out how many roots of a polynomial is in each quadrant?
104268
Confusion on how to solve this question about sequences.
155150
Division of Factorials [binomal coefficients are integers]
96647
Number theory: Problem involving rational numbers
80144
Prove that $x-1$ divides $x^n-1$
77816
Proof problem: Show that $n^2-1$ is divisible by $8$, if $n$ is an odd positive integer.
38014
How to test if a polynomial is cyclotomic, i.e. divide $x^k - 1$ for some $k$?
111493
Division algorithm for polynomials in R[x], where R is a commutative ring with unity.
155642
Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring