Polynomial of degree 5 such that $P(x)-1$ is divisible by $(x-1)^3$ and $P(x)$ is divisible by $x^3$
66960
Find a polynomial f(x) of degree 5 such that 2 properties hold.
95692
Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field
91921
Divisibility of $n\cdot2^n+1$ by 3.
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
148458
$x^p-x \equiv x(x-1)(x-2)\cdots (x-(p-1))\,\pmod{\!p}$
85287
Prove that, for $p > 3$, $(\frac 3p) = 1$ when $p \equiv 1,11 \pmod{12}$ and $(\frac 3p) = -1$ when $p \equiv 5,7 \pmod{12}$
129834
Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.
131366
Cyclotomic polynomial
96062
Show $\underbrace{{111\cdots}1}_{{\small{p-1} \ 1's}}$ is divisible by $p$
105442
Show that any prime divisor of $x^4+x^3+x^2+x+1$, with $x\in\mathbb{N}$, is $5$ or $1$ mod $5$
9997
For what powers $k$ is the polynomial $n^k-1$ divisible by $(n-1)^2$?
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
85525
Prove that $x^3+x+1$ splits in $Z_2[x]/(x^3+x+1)$
4885
Polynomials with integer coefficients such that $p(a)=b,p(b)=c,p(c)=a$
33011
Prove that the polynomial $f_n(x)=nx^{n+1}-(n+1)x^n+1$ is divisible by $(x-1)^2$
14836
A polynomial sequence