Let K be a normal extension of F, and let K = F(). Let irr(, F)=x n

Let K be a normal extension of F, and let K = F(α). Let
irr(α, F)=xⁿ+a_n-1x^n-1 +· · · + a₁x + a₀.

Referring to Exercise 17, show that

N_k/F(α) = (−1)ⁿa₀,  

Tr_k/F(α) = -a_n−1.