If f(x) = (1+x+x2+x3+.......x2012)2−x2012
g(x) = 1+x+x2+x3+.......x2011
Then what is the remainder when f(x) is divided by g(x)

• in simple way...
  put x=1
  f(1)=(2012)^2-1
  g(1)=2011
  f(1)/g(1)=[(2012)^2-1]/[2011]
  =[(2012+1)*(2012-1)]/[2011]
  =[(2013)*(2011)]/[2011]
  =2013
  hence reminder is 0
• 11 years agoHelpfull: Yes(20) No(8)
• kamlesh kumar vishwakarma sir,
  f(1)=(1+2012)^2-1=(2013)^2-1 ??
  g(1)=2012 ??
  f(1)/g(1) =(2014*2012)/2012 =2014 ??
  
  
• 9 years agoHelpfull: Yes(5) No(0)
• f(x) = (1+x+x2+x3+.......x2012)2−x2012
  g(x) = 1+x+x2+x3+.......x2011
  f(x)/g(x)= (1+x+x2+x3+.......x2012)2−x2012/1+x+x2+x3+.......x2011
  =(1+x+x2+x3+.......x2011)2−x2012+x2012*2−x2012/1+x+x2+x3+.......x2011
  =(1+x+x2+x3+.......x2011)2−x2012/1+x+x2+x3+.......x2011)+ (x2012*2−x2012/1+x+x2+x3+.......x2011).
  =x2012*2−x2012+(x2012*2−x2012/1+x+x2+x3+.......x2011)
  =x2012*2−x2012(1+1/1+x+x2+x3+.......x2011).
  
• 11 years agoHelpfull: Yes(0) No(16)