Integer Polynomials
Trivia · proposed by @vipproaccout
Which of the following polynomials takes results in an integer for every integer $x$?
A$$\frac{x^5 - x}{5}$$
B$$\frac{x^3 + x}{3}$$
C$$\frac{x^2 + 3x + 2}{3}$$
D$$\frac{x(x+1)(x+2)\cdots(x+2026)}{2028!}$$