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.

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.

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Question 1075765: 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.
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.

This quartic polynomial is


   = 


=  = 

= ,


and you can expand it further.

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