If $\int_{0}^{2} p(x) dx = p(\alpha) + p(\beta)$ for all polynomials of degree at most $3$, what's $3(\alpha - \beta)^2$?
104145
Finding the value of $3(\alpha-\beta)^2$ if $\int_0^2 f(x)dx=f(\alpha) +f(\beta)$ for all $f$
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
61466
what is $\int_{|z|=3}\frac{1}{(z-2)^n(z-4)^m}dz$ for $m,n\in\mathbb{N}$?
109952
Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$
40426
Polynomial degree 3 Equation
40502
The Degree of Zero Polynomial.
62134
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
105395
Minimal polynomial of $1 + 2^{1/3} + 4^{1/3}$
134342
Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
135768
Find $P(n+1)$ for a polynomial P
9211
$\int\frac{dx}{x-3y}$ when $y(x-y)^2=x$?
34907
Show that $\int_{0}^{1}\{P(x)\}^{2}\,dx = (n + 1)^{2}\left(\int_{0}^{1}P(x)\,dx\right)^{2}$
154185
Evaluate $\iiint_{[0,1]^3}\frac{dx\,dy\,dz}{(1+x^2+y^2+z^2)^2}$
133851
How to arrive at $\int_{0}^{1} f^3(x) \, dx < (\int_{0}^{1} f(x) \, dx)^2$?
29811
Find all polynomials $P$ such that $P(x^2+1)=P(x)^2+1$
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
13083
If for a polynomial $P(k) = 2^k$ for $k = 0, 1, . . . , n$, what is $P(n+1)$?