Question

If n is a positive integer, then how many values of n will give an integral value of (13n^2+17n+12) /n is integer?

Answer 1

Answer:

Answer: (16n^2+7n+6)/n= 16n+7+6/n now here this expression will only be integral when 6/n would be an integral value, and at the same time 16n should be integral as well. Therefore the possible values of n would be 6,3,2,1,1/2,1/4,1/8,1/16. Apart from these values either 16n or 6/n would not be integral in nature