Find a monic quartic polynomial f(x) with rational coefficients whose roots include x=1-\sqrt 2 and x=2+\sqrt 2.
(x-1-sqrt2)(x-1+sqrt2)(x-2-sqrt2)(x-2+sqrt2) =
x^4- 6x^3+ 9x^2-2 after all of the multiplication ( I used an online calculator)
+36915 
