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Find a monic quartic polynomial f(x) with rational coefficients whose roots include x=1-\sqrt 2 and x=2+\sqrt 2.

 Oct 4, 2021
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(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)

 Oct 4, 2021

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