# A calculus problem by Rakshit Joshi

Calculus Level 2

Let $p(x)$ be a non-constant polynomial function such that there exists a real number $a$ for which $p(a) \ne 0,\quad p'(a)=0,\quad p''(a)=0.$

True or False?

At least one root of $p(x)$ is non-real.

×