e. (2 pts) Let n > 2 be a positive integer. Factor the degree n polynomial zn - 1 as a linear polynomial times a degree

[answerhappygod]

E 2 Pts Let N 2 Be A Positive Integer Factor The Degree N Polynomial Zn 1 As A Linear Polynomial Times A Degree 1 (58.68 KiB) Viewed 24 times

e. (2 pts) Let n > 2 be a positive integer. Factor the degree n polynomial zn - 1 as a linear polynomial times a degree n - 1 polynomial. (Hint: there is a real number that is a root for any n). P3 f. (5 pts) Let f(z) be a rational function: f = 13), for polynomials P, Q, with Q not identically 0. Show (using the Fundamental Theorem of Algebra) that, if f is non-constant, then for all but finitely many points w e C, there exists a solution z of the equation f(x) = w. Also give a specific example of a rational function f and a number w so that f(z) = w has no solution z. =