Derive a polynomials formula by setting $n = 1$, $n = 2$, $n = 3$ to determine the coefficients.
58264
How to derive the formula for the sum of the first $n$ perfect squares?
40426
Polynomial degree 3 Equation
43792
Find polynomials such that $(x-16)p(2x)=16(x-1)p(x)$
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
100278
Find $\alpha^{2016} + \beta^{2016} + \alpha^{2014} + \beta^{2014} \over \alpha^{2015} + \beta^{2015}$ for zeroes of the polynomial $x^2+3x +1$
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
155559
Quickest way to determine a polynomial with positive integer coefficients
123820
Guess the formula for $\sum\frac 1{(4n-3)(4n+1)}$ and prove by induction
58149
Working with symmetric polynomials
134709
Express symmetric polynomial $\prod_{i < j} (X_i+X_j)$ in terms of elementary symmetric functions
36388
How to derive this Combinatorial identity
138756
How to Calculate the Sum of Coefficients in a Polynomial with known Integer Roots
25004
Proving $\binom{m}{n} + \binom{m}{n-1} = \binom{m+1}{n}$ algebraically
143466
Roots of functions / polynomials
114812
Let $p(z)=z^n+a_{n-1}z^{n-1}+a_{n-2}z^{n-2}+...+a_0$ be a complex polynomial satisfying $|p(z)| \leq 1$ for $|z|\leq 1$, then prove that $p(z)=z^n$
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
126402
How to factor a fourth degree polynomial