Property of Polynomials
Trivia · proposed by @vipproaccout
Which property of polynomials is incorrect?
AIf two polynomials $P(x)$ and $Q(x)$ satisfy $P(x) = Q(x)$ for every $x \in \mathbb{N}$, then $P(x) = Q(x)$ for every $x \in \mathbb{R}$.
BA nonzero polynomial equation $P(x) = 0$ can have infinitely many solutions.
CFor every polynomial $P(x)$, there exists a real number $k$ such that $P(x)$ is monotonic on the interval $[k, +\infty)$ or on $(-\infty, k]$.
DEvery polynomial of odd degree has at least one real root.