Let $(x - 1)^3$ divide $(P(x) + 1)$ and $(x + 1)^3$ divide$ (P(x) - 1)$. Find the polynomial $P(x)$ of degree $5$.
51019
Polynomial problem with two conditions
41050
Degree of the splitting field of $ x^3-5 $ over $\mathbb{Q}$
60206
Find minimum of $P=\frac{\sqrt{3(2x^2+2x+1)}}{3}+\frac{1}{\sqrt{2x^2+(3-\sqrt{3})x +3}}+\frac{1}{\sqrt{2x^2+(3+\sqrt{3})x +3}}$
83291
Prove that $p(x)=(x-a)q(x)$ for some $q(x)\in R[x]$ of degree= (degree of $p)-1$.
27278
Let $\alpha \in \overline{\Bbb Q}$ a root of $X^3+X+1\in\Bbb Q[X]$. Calculate the minimum polynomial of $\alpha^{-1}$ en $\alpha -1$.
43792
Find polynomials such that $(x-16)p(2x)=16(x-1)p(x)$
7389
Finding the limit of $\frac{Q(n)}{P(n)}$ where $Q,P$ are polynomials
128446
Why polynomial division algorithm works for $x-a$ or any monic polynomial?
68776
Solve in $C$ : $P(z)=z^4+2z^3+5z^2+4z+1=0$ where $P(i-\frac{1}{2}+i\frac{\sqrt 3}{2})=0$
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
141983
Complex polynomial of degree $n$
82204
Prove $ \lim_{n\to\infty}\sqrt[n]{p(n)}=1 $ for polynomial
54212
Another polynomial equation
116204
Polynomial Remainder Question?
43499
Repeatedly taking differences on a polynomial yields the factorial of its degree?
49744
Find remainder of division of $x^3$ by $x^2-x+1$
6622
How to find roots of $X^5 - 1$?