document.write( "Question 374734: Find a polynomial function of lowest degree with rational coefficients that has given numbers as some of its zeros.
\n" ); document.write( "2+i,4 \n" ); document.write( "

Algebra.Com's Answer #266491 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
If $\"x=2%2Bi\"$ is a zero so is $\"x=2-i\"$ ,
\n" ); document.write( " $\"f%28x%29=%28x-4%29%28x-%282%2Bi%29%29%28x-%282-i%29%29\"$
\n" ); document.write( " $\"f%28x%29=%28x-4%29%28x%5E2-4x%2B5%29\"$
\n" ); document.write( " $\"highlight%28f%28x%29=x%5E3-8x%5E2%2B21x-20%29\"$ \n" ); document.write( "

\n" );