Prove that over an infinite field, a finite set of points in $\mathbb{ A}^n$ can be obtained as vanishing set of n polynomials
47266
Every affine variety in $\mathbb A^n$ consisting of finitely many points can be written as the zero locus of $n$ polynomials
111248
The Uniqueness of a Coset of $R[x]/\langle f\rangle$ where $f$ is a Polynomial of Degree $d$ in $R[x]$
73454
Prove that $f$ has finite number of roots
155444
Show that entire function $f$ is a polynomial of degree at most $n$
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
33696
A polynomial is zero if it zero on infinite subsets
104233
Is the ring of the polynomials on a finite algebraic set always a product of local rings?
96618
Any finite set of points in in the projective plane can be defined by two polynomials
45792
Rigorous proof that surjectivity implies injectivity for finite sets
27540
A polynomial can not have infinite number of constant values
17276
Number of points in the fibre and the degree of field extension
91356
Irreducibility of an infinite sequence of polynomials
80397
Show that this set of polynomials is ideal in F[x]
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
103246
Prove that a polynomial of degree $d$ has at most $d$ roots (without induction)
143321
Number of roots of a polynomial over a finite field