Proving the Identity Theorem for polynomials
62134
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
65661
Decomposition of a homogeneous polynomial
117775
Combinatorial proof of a Stirling number identity.
55119
Proof that the coefficients of a polynomial are real
86882
Proving Gauss' polynomial theorem (Rational Root Test)
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
44100
Prove that identity element is unique
96592
Showing that the roots of a polynomial with descending positive coefficients lie in the unit disc.
75910
Combinatorial Proof of Combinatorial Identity involving $(-1)^k \binom {n-1}{k}$
89553
proof that every finite matrix has an annihilating polynomial
24588
Proving the combinatorial identity ${n \choose k} = {n-2\choose k-2} + 2{n-2\choose k-1} + {n-2\choose k}$
148451
Polynomial inequality proof
145191
Content of a polynomial
113290
Prove combinatorics identity
51094
Prove that the set of integer coefficients polynomials is countable
52614
(exercise from Tao's analysis book) Proof of a lemma relating to power set of X
65983
Combinatorial proof of binomial coefficient summation identity