If (x−m) and (x−km) are the factors of the polynomial, then m and km are roots of the polynomial Sum of roots =−b∕a m+km=−pm(k+1)=−p⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅(1) Product of roots =c∕a m×km=qkm2=q⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅⋅(2) Divide equation (2) by square of equation (1) (k+1)2∕k=p2∕q