Question

find the zeroes of a polynomial x3-15x2+71x-105 given that the zeroes are in ap

Answer 1

Let zeroes are and,a,a+d
Sum of roots=3a
3a=15
a=5
(a-d)a+a(a+d)+(a-d)(a+d)=71
d^2=4
d=2
So,zeroes are 3,5,7