Let , be a polynomial function, find relation between a,b,c,d such that it's roots are in an arithmetic/geometric progression. (separate relations)
So for the arithmetic progression I took let and r be the ratio of the arithmetic progression.
and we get the final result .
How should I take the ratio at the geometric progression for roots?
I tried something like
To get but it doesn't really work out..
I have to choose from this set of answers: