Please solve q 55 ?

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Answer 1 · 2018-06-09T15:33:28

I got #-x#

Have a look:

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Answer 2 · 2018-06-09T15:55:15

The correct answer is #option (3)#

#f(x)=x^19+x^17+x^13+x^11+x^7+x^5+x^3#

#=x^17(x^2+1)+x^11(x^2+1)+x^5(x^2+1)+x^3#

Therefore,

#f(x)/(x^2+1)=x^17+x^11+x^5+x^3/(x^2+1)#

#=x^17+x^11+x^5+x-x/(x^2+1)#

The remainder is #=-x#

The correct answer is #option (3)#