SOLUTION: Find a monic quartic polynomial $f(x)$ with rational coefficients whose roots include $x=2-3\sqrt 2$ and $x=1-\sqrt 3$. Give your answer in expanded form.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find a monic quartic polynomial $f(x)$ with rational coefficients whose roots include $x=2-3\sqrt 2$ and $x=1-\sqrt 3$. Give your answer in expanded form.      Log On

This quartic polynomial is


   = 


=  = 

= ,


and you can expand it further.