0 votes 0 votes Consider $p(s)=s^{3}+ a_{2}s^{2}+a_{1}s+a_{0}$ with all real coefficients. It is known that its derivatives ${p}'(s)$ has no real roots. The number of real roots of $p(s)$ is $0$ $1$ $2$ $3$ Calculus gate2018-ec calculus derivatives + – gatecse asked Feb 19, 2018 • retagged Mar 2, 2021 by Lakshman Bhaiya gatecse 1.6k points 112 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.