I got x^4 + 2x + 25 as the minimum polynomial... anyone agree? Am I on the right track?
If we can use the same process as the book, then yes except it should be x^4 + 2x^2 + 25. It is monic and has degree 4 which is the degree of it should be.
I can confirm the second post. I came up with x^4 + 2x^2 + 25 using the method outlined in example 7. The approach basically amounts to finding the monic fourth-degree polynomial p such that sqrt(-3) + sqrt(2) is a zero. -Josh
