Find a monic quartic polynomial f(x) with rational coefficients whose roots include x = 1-sqrt2 and x=2+sqrt5. Give your answer in expanded form.
The answer is
x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0
in expanded form
That is incorrect. Thanks for the effort though!
As follows:
