$\sqrt[3]{2}$ satisfies $x^3-2=0$ Show that there is no polynomial $P(x)$ of degree less than 3 with $P(\sqrt[3]{2})=0$
108550
Elements of $\mathbb Q(2^{1/3})$
109721
The number of zeros in a polynomial
72144
Show that $\mathbb Q(\sqrt p) \not\simeq\mathbb Q(\sqrt q)$
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
53139
How to demonstrate that there is no all-prime generating polynomial with rational cofficents?
7199
Suppose that $P(x)$ is a polynomial of degree $n$ such that $P(k)=\dfrac{k}{k+1}$ for $k=0,1,\ldots,n$. Find the value of $P(n+1)$
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
126427
Proving $\sqrt{2}+\sqrt[3]{3}$ is algebraic.
99000
No polynomial with integer coefficients satisfies the conditions
103496
Show that $3p^2=q^2$ implies $3|p$ and $3|q$
102464
Prove $R < ( 1 + (\sum |a_{i}|^{p} )^{q/p})^{1/q}$ for absolute value of polynomial zeros
82204
Prove $ \lim_{n\to\infty}\sqrt[n]{p(n)}=1 $ for polynomial
76017
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
44307
Prove $\sqrt[3]{3} \notin \mathbb{Q}(\sqrt[3]{2})$
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
43300
The degree of $\sqrt{2} + \sqrt[3]{5}$ over $\mathbb Q$
157266
Can a nonzero polynomial evaluate to the zero function in a suitable infinite ring of char 0?