Find a monic quartic polynomial f(x) with rational coefficients whose roots include 1 - sqrt(3) and 2 + sqrt(3). Give your answer in expanded form.
+23246 If 1 - sqrt(3) is a solution, 1 + sqrt(3) will also be a solution.
If 2 + sqrt(3) is a solution, 2 - sqrt(3) will also be a solution.
The polynomial, in factored form is: [ x - (1 - sqrt(3)) ] · [ x - (1 + sqrt(3)) ] · [ x - (2 + sqrt(3) ] · [ x - (2 - sqrt(3) ] = 0
Expand this expression for your answer.
