Let $p(x)=x^2+b x+c$ be a quadratic polynomial with real coefficients $b$ and $c$. Suppose $p(1)=5$ and $p(-1)=3$. What is the product of the roots of $p(x)=0$ ?

• A

  $1$
• B

  $-1$
• C

  $2$
• Correct answer
  D

  $3$

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