Determine the minimal polynomial of \(\pi \) over the field \(\mathbb {Q}((\pi ^2+1)/(\pi -1))\).
(Use, without proof, that \(\pi \) is transcendental!)
Question
Math 6310 • Algebra
Fall 2017 • Question 8
Question
Fall 2017 • Question 8
Determine the minimal polynomial of \(\pi \) over the field \(\mathbb {Q}((\pi ^2+1)/(\pi -1))\).
(Use, without proof, that \(\pi \) is transcendental!)