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[" 34.Let "f(x),g(x)" be polynomials hav...

[" 34.Let "f(x),g(x)" be polynomials having real coefficients such that "F(x)=f(x^(3))+],[xg(x^(3))" and "F(x)" is divisible by "x^(2)+x+1." Prove that "f(x)" and "g(x)" are divisible "],[" by "x-1.]

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