If f(x) = (1+x+x2+x3+.......x2012)^2−x^2012
g(x) = 1+x+x2+x3+.......x^2011
Then what is the remainder when f(x) is divided by g(x)

• put x=0 1/1 so remainder is 0.
• 11 years agoHelpfull: Yes(24) No(3)
• 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(2) No(10)