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p(x)= ( x^2012+x^2011+x^2010+.............x+1)-x^2012
q(x)=(x^2011+x^2010+................x+1)
the remainder when p(x) is divided by q(x) is:
Read Solution (Total 13)
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- Ans:0
Take x=1
(2013)^2-1^2012 it is divided by 2011 by formula[a^2-b^2]
(2014*2012)/2012=Remainder 0 Quotient is 2014. - 10 years agoHelpfull: Yes(8) No(2)
- Ans is 0 because
p(x)=( x^2012+x^2011+x^2010+.............x+1)-x^2012=q(x)
now,
p(x)/q(x)=1
so remainder is 0 - 10 years agoHelpfull: Yes(3) No(1)
- (x^2012+x^2011+......x+1)-x^2012 = (x^2011+x^2010+.......x+1)
this is the new value of p(x)
q(x)=(x^2011+x^2010+.......x+1)
hence p(x)/q(x) = remainder =1 - 10 years agoHelpfull: Yes(1) No(0)
- p(x)=(x^2012+x^2011.......x+1)-x^2012
p(x)+x^2012=(x^2012+x^2011.......x+1)
p(x)+x^2012=x^2012+(x^2011.......x+1)
p(x)+x^2012=x^2012+ q(x)
p(x)/q(x)=1
- 10 years agoHelpfull: Yes(1) No(0)
- 1
p(x)/q(x)=x^2011.../x^2011..=1 - 10 years agoHelpfull: Yes(0) No(2)
- ans is 0
because p(x) will be equal to q(x) after solving - 10 years agoHelpfull: Yes(0) No(0)
- p(x)/q(x)=x^2012-x^2012=0
- 10 years agoHelpfull: Yes(0) No(0)
- P(x)=x^2011+x^2010+.........
Q(x)=x^2011+x^2010+.........
so, remainder=0 - 10 years agoHelpfull: Yes(0) No(0)
- ans. is zero
bcz p(x)=q(x)
so no remainder - 10 years agoHelpfull: Yes(0) No(0)
- given,
p(x)= ( x^2012+x^2011+x^2010+.............x+1)-x^2012
=> p(x)= ( x^2011+x^2010+.............x+1) =q(x)
=> p(x)/q(x)=1
Hence, remainder is 0. - 10 years agoHelpfull: Yes(0) No(0)
- remainder is zero
p(x)=1+x+x^2+.....+x^2012 - x^2012=1+x+x^2+....x^2011=q(x)...
so p(x)%q(x) but p(x)=q(x) so remainder=0 - 10 years agoHelpfull: Yes(0) No(0)
- Since P(x)= q(x)
p(x)/q(x)=1
remainder=0 - 10 years agoHelpfull: Yes(0) No(0)
- p(x)=(x^2012+q(x))-x^2012=q(x)
=>p(x)/q(x)=1
=>remainder=0 - 10 years agoHelpfull: Yes(0) No(0)
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