document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #690546 by ikleyn(52794)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "This quartic polynomial is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "   = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "=  = \r\n" );
document.write( "\r\n" );
document.write( "= \"%28%28x-2%29%5E2+-9%2A2%29%2A%28%28x-1%29%5E2-3%29\",\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and you can expand it further.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Next time, when posting to this forum, please use usual (standard) txt-format.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is STANDARD in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );