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

• A

  $p(x)$ has at least two real roots
• B

  $p(x)$ has only one positive real root
• Correct answer
  C

  $\mathrm{p}(\mathrm{x})$ may have negative real root
• D

  $p(x)$ has infinitely many real roots

Hence, the correct answer is option: 'C'.