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P(x)=(x^2012+x^2011+x^2010+…..+x+1)^2-x^2012
Q(x)=x^2011+x^2010+…+x+1
The remainder when P(x) is divided by Q(x) is ?
Read Solution (Total 5)
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- remainder may be zero
- 12 years agoHelpfull: Yes(17) No(5)
- substute 1
(2013)^2-1/2012=(2013-1)(2013+1)/2012=2014 - 12 years agoHelpfull: Yes(16) No(12)
- remainder is zero.
substitute 1 in x
then it will become
((2013)^2-1)/2012
(2013+1)(2013-1)/2012
2014 is quotient
therefore the remainder is '0'. - 12 years agoHelpfull: Yes(16) No(0)
- take x=1
p(x)=(1^2012+1^2011+___+1+1)^(2-1)^2012=(2013)^1^2012=(2013)
similarly...
Q(x)=2012
2013/2012=1 - 12 years agoHelpfull: Yes(8) No(7)
- hello NAGARJUN which answer you have given is correct, how the reminder would be 0. explain clearly
- 12 years agoHelpfull: Yes(3) No(0)
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