Construct a polynomial over $k$ whose zero set is $(0,\ldots,0).$
111338
Affine variety over a field which is not algebraically closed can be written as the zero set of a single polynomial
82607
Complex zeros of the polynomials $\sum_{k=0}^{n} z^k/k!$, inside balls
46798
Is it possible that the zeroes of a polynomial form an infinite field?
70249
Irreducibility of Polynomials in $k[x,y]$
27675
Polynomials vanishing on an infinite set
47443
Iterated polynomial problem
157487
Showing a polynomial having at least one integer root under certain conditions has precisely one integer root
43511
Proving products of coefficients of two polynomials are zero when the product of the polynomials is zero
103763
Minimal polynomial of $\sqrt{2}+\sqrt{3}$ over $\mathbb Q$
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
13083
If for a polynomial $P(k) = 2^k$ for $k = 0, 1, . . . , n$, what is $P(n+1)$?
102464
Prove $R < ( 1 + (\sum |a_{i}|^{p} )^{q/p})^{1/q}$ for absolute value of polynomial zeros
134699
Can *any* real polynomial be factored linearly (plus a constant) over $\mathbb{R}$?
99000
No polynomial with integer coefficients satisfies the conditions
137218
Does there exist a polynomial $f(x)$ with real coefficients such that $f(x)^2$ has fewer nonzero coefficients than $f(x)$?
114254
Zero divisors in $A[x_1,x_2,\dots,x_r]$
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$