If one zero of the polynomial p(x) = (k + 4)x² + 13x + 3k is reciprocal of the other, then k is equal to

Given: A Quadratic equation p(x) = (k + 4)x² + 13x + 3k

Required: To find the value of k

Let the roots of the given Quadratic equation be: and

∴ Product of roots of the given Quadratic equation is

We know that, Product of roots of a given Quadratic equation is

∴

⇒

⇒ 3k = k + 4

⇒ 2k = 4

⇒ k = 2

∴ The value of k is 2

∴ Correct option is – Option (A)