If the number of roots of a polynomial are more than degree of polynomial, then it becomes an identity. Why?
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
51804
How to show that a root of the equation $x (x+1)(x+2) ....... (x+2009) = c $ can have multiplicity at most 2?
69523
Prove that polynomial of degree $4$ with real roots cannot have $\pm 1$ as coefficients (IITJEE)
155444
Show that entire function $f$ is a polynomial of degree at most $n$
40502
The Degree of Zero Polynomial.
111569
Property of a polynomial with no positive real roots
121304
Is the set of polynomials of degree less than or equal to $n$ closed?
70537
Irreducible polynomials have distinct roots?
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
105679
Can $\pi$ or $e$ be a root of a polynomial with algebraic coefficients?
62072
Is $2+2=4$ an identity?
63742
A key doubt about the resultant of two polynomials and their common zero locus
83291
Prove that $p(x)=(x-a)q(x)$ for some $q(x)\in R[x]$ of degree= (degree of $p)-1$.
108264
A polynomial is called a Fermat's polynomial...
77820
Roots in a polynomial ring
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
6484
Polynomials in one variable with infinitely many roots.