what are the possible values of n for (n^3)+24n+1959/(n-2)..

• there are 9 possible values of n.
• 9 years agoHelpfull: Yes(1) No(5)
• can you plzz explain properly...
• 9 years agoHelpfull: Yes(1) No(2)
• 
  n3 + 24n + 1959/ n−2
  = (n2 + 2n + 28) +(2015/ n−2)
  , so the fraction is an integer if and only if n−2 is a factor of 2015. There are 8 positive factors of 2015, and together with the case n = 1 there are 9 possible values of n.
  
• 8 years agoHelpfull: Yes(1) No(1)
• plz explain ur ans @manish yadav
  
• 9 years agoHelpfull: Yes(0) No(2)
• ans=9
  (n^3+24n+1959)/(n-2)=n^3+2n+28+(2015)/(n-2) so the fraction is a integer if and only if n-2 is factor of 2015, and together with the case n=1 there are 9 values of n.
• 9 years agoHelpfull: Yes(0) No(4)
• : C. Notice that n
  3 + 24n + 1959
  n − 2
  = n
  2 + 2n + 28 +
  2015
  n − 2
  , so the fraction
  is an integer if and only if n − 2 is a factor of 2015. There are 8 positive factors of
  2015, and together with the case n = 1 there are 9 possible values of n.
  
• 8 years agoHelpfull: Yes(0) No(1)