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g(x)=sigma 0 to 5 x^r Remainder when g(x^12) is divided by g(x)

g(x)=sigma 0 to 5 x^r
Remainder when g(x^12) is divided by g(x)

Grade:8

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hello Student,
(x-1)g(x)=x^6-1
g(x^12)=(((x^6)^10)-1)+(((x^6)^8)-1)+(((x^6)^6)-1)+(((x^6)^4)-1)+(((x^6)^2)-1)+6
g(x^12)=(x^6-1)P(x)+6

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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