what is the remainder when x^40 +2 is divided by x^4 +1?

• take x=1
  remainder = 1
• 10 years agoHelpfull: Yes(2) No(0)
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• 10 years agoHelpfull: Yes(1) No(0)
• put x=1 then 3/2, the remainder is 1 or put x=-1 then also remainder=1 or put x=2 then also remainder is 1
  the no. formed in this case would be 1099511627776 and when divided by 17 leaves 1
• 8 years agoHelpfull: Yes(1) No(0)
• Remainder=3
  From successive divisions we will left with -x^4+2 at last, therefore dividing it by x^4+1 ,we will get remainder 3
• 11 years agoHelpfull: Yes(0) No(4)