+284 Hi can someone help me with this problem?
Find a monic quartic polynomial f(x) with rational coefficients whose roots include x=1−√2 and x=2+√5. Give your answer in expanded form.
Thanks!
+1223 If a polynomial has a root of the form a+√b then it must also have another root of the form a−√b.
So, our quartic is:
(x−(1−√2))(x−(1+√2))(x−(2+√5))(x−(2−√5))
