Question

If one root of the polynomial f(x) = 5x² + 13x + k is reciprocal of the other, then the value of k is

(a) 0
(b) 5
(c) $\frac{1}{6}$
(d) 6

Answer 1

If one zero of the polynomial is reciprocal of the other. So

Now we have

Since

Therefore we have

Hence, the correct choice is