Find the remainder when *"- 1 is divided by x°/+ xº + x2 + x +1

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( =(x-1)left(1+x^{5}+x^{10}+cdots+x^{100}right)+frac{(x-1)left(x^{105}+x^{106}+x^{107}+x^{108}right)}{1+x+x^{2}+x^{3}+x^{4}} ) remainder is ( (x-1)left(x^{105}+x^{106}+x^{10}+x^{108}right) ) remainder ( i s quad x^{105}left(x^{4}-1right) )

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