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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(5). Give your answer in expanded form.

 Aug 27, 2020
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The monic quartic is x^4 - 4x^3 - x^2 + 5x - 4 = 0.

 Aug 27, 2020

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