Latest TCS Aptitude Question SOLUTION: 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)

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(#M40019743) TCS Logical Reasoning question Keep an EYE

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)

Asked In TCS suryakumar jaidi (11 years ago)

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Read Solution (3) :

kamlesh kumar vishwakarma  (11 years ago)

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

Is this solution Helpfull? Yes (20) | No (8)  

haritha  (9 years ago)

kamlesh kumar vishwakarma sir,
f(1)=(1+2012)^2-1=(2013)^2-1 ??
g(1)=2012 ??
f(1)/g(1) =(2014*2012)/2012 =2014 ??

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manoj kumar jha  (11 years ago)

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).

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