# Polynomials:

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• March 3rd 2008, 10:46 AM
joanne_q
Polynomials:
Last one:

(3):
(i) Show that $\mathbb{F}(x)/(x^2 -1) \cong \mathbb{F} \times \mathbb{F}$ when $\mathbb{F}$ is any field in which $1 + 1 \neq 0$.
(ii) Show that $\mathbb{R}(x)/(x^2 + a) \cong \mathbb{C}$ if a > 0, or $\mathbb{R} \times \mathbb{R}$ if a < 0.

any suggestions on these please? thnx :)