document.write( "Question 1198419: Find a polynomial function​ f(x) of least degree having only real coefficients and zeros as given. Assume multiplicity 1 unless otherwise stated.
\n" ); document.write( "zero of 3​ (multiplicity 2) and zero 6i.
\n" ); document.write( "f(x)=
\n" ); document.write( "

Algebra.Com's Answer #832007 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "    f(x) = (x-3)^2*(x-6i)*(x+6i) = (x-3)^2*(x^2+36).    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "\n" ); document.write( "

The lesson to learn

\r
\n" ); document.write( "\n" ); document.write( "        You should include complex conjugate root with each complex root.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        The rest is simple arithmetic.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );