Question

PROBLEMITA RETADOR -POLINOMIOS ​

Answer 1

Sea $z=x^n+1\to x=\sqrt[n]{z-1}\\\\F(z)=\sqrt[n]{z-1}-1\\ \\F(3)=\sqrt[n]2-1=-\dfrac{7}{8}\\ \\ \\\sqrt[n]2=\dfrac{1}{8}\\ \\ \\2^{1/n}=2^{-3}\\\\n=-\dfrac{1}{3}$