Let $(x-1)^3$ divides $p(x)+1$ and $(x+1)^3$ divides $p(x)-1$. Find a polynomial $p(x)$ of degree 5.
66960
Find a polynomial f(x) of degree 5 such that 2 properties hold.
65826
Find a prime number $p$ and an integer $b<p$ such that $p$ divides $b^{p−1}−1$.
95692
Factoring polynomials of the form $1+x+\cdots +x^{p-1}$ in finite field
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
71261
Factoring a hard polynomial
148217
A polynomial with integer coefficients that attains the value $5$ at four distinct points
141983
Complex polynomial of degree $n$
135379
Stuck on Polynomial Division Problem
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 $k=0, \dots, n$.
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
105395
Minimal polynomial of $1 + 2^{1/3} + 4^{1/3}$
1962
Polynomial $P(a)=b,P(b)=c,P(c)=a$
155559
Quickest way to determine a polynomial with positive integer coefficients
29811
Find all polynomials $P$ such that $P(x^2+1)=P(x)^2+1$
120627
Reducibility of polynomials modulo p
33011
Prove that the polynomial $f_n(x)=nx^{n+1}-(n+1)x^n+1$ is divisible by $(x-1)^2$