Suppose that f ∈ R[x] and that α ∈ C such that f(α) = 0. Let ¯α be the complex
conjugate of α. Show that f(¯α) = 0 as well.
Prove that the Fundamental Theorem of Algebra is equivalent to the assertion that
every nonconstant polynomial in R[x] is a product of linear and quadratic factors with