Question

If the zero of the polynomial ax²+15x+6 is reciprocal of the other then find the value of a also find the zeroes of the polynomial

Answer 1

let the zeroes be p and q
here
a=a , b=15 , c=6
p=1/q
=>pq=c/a
=>p×1/p=6/a
=>1=6/a
=>a=6