Posted by arron on Saturday, June 2, 2012 at 1:03pm.
2) x^3 - 4x^2 + x - 4
extra credit: why a cubic, not a quadratic?
4) x^3 - (6+√2)x^2 + (9+5√2)x - 4(1+√2)
minimum degree. To get rid of the √2, add a root of 1-√2 to get
x^4 - 7x^3 + 13x^2 - 3x - 4
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