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1! + 2! + 3! + 4! +.......50!

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TCS Other Question

what is the remainder of (128)^1000 %9 ? If f(x) = ${({rm{1 + x + }}{{rm{x}}^2} + {x^3} + .......{x^{2012}})^2} - {x^{2012}}$
g(x) = ${rm{1 + x + }}{{rm{x}}^2} + {x^3} + .......{x^{2011}}$
Then what is the remainder when f(x) is divided by g(x)