Question

Let $p(x)$ be a polynomial with real co-efficients, $p(0)=1$ and $p^{\prime}(x)>0$ for all $x \in C$. Then

• A. $p(x)$ has at least two real roots
• B. $p(x)$ has only one positive real root
• C. $p(x)$ may have negative real root
• D. $p(x)$ has infinitely many real roots

Answer 1

Answer: (C)

$P(x)=0$ has exactly one negative real root.