Question

2. If one zero of the polynomial PX) = (+4)* 13 * 4k is the reciprocal of the other ,then k is

a) 2 (b) -2 (c) 1 (d) -1​

Answer 1

let one zero be α then the other will be 1/α 
clearly from the above step we can see that the product of the roots is 1 so c/a=1
4k/k²+4=1

4k=k²+4
k²-4k+4=0
(k-2)(k-2)
hence k=2