Question

if one zeros of the polynomial p(x)=4x^2-5x+K is reciprocal of the Other find the value of k

Answer 1

$\alpha \times \frac{1}{ \alpha } = \frac{c}{a} = \frac{k}{4} \\ 1 = \frac{k}{4} \\ k = 4$
when one zero is reciprocal of other then a= c.

Answer 2

k=4
I hope it will help you