Question

If one zero of the polynomial 5z + 13z – p is reciprocal of the other, then find p.

Answer 1

let zeros be
$\alpha \: \: \frac{1}{ \alpha}$

Answer 2

Hey

Here is your answer,

5z^2 + 13z - p = 0

Let the zeroes be alpha and 1/ alpha

Product of zeroes = c/a
Alpha x 1/alpha = -p/5
-p/5 = 1
p = -5

Hope it helps you!