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If `f(x)` and `g(x)` are two polynomials such that the polynomial `h(x)=xf(x^3)+x^2g(x^6)` is divisible by `x^2+x+1,` then (a)`f(1)=g(1)` (b) `f(1)=1g(1)` (c)`h(1)=0` (d) all of these

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