document.write( "Question 804504: Find a third-degree polynomial equation with rational coefficients that has the given numbers as roots. 3 + i and -3 \n" ); document.write( "

Algebra.Com's Answer #484777 by erica65404(394) $\"\"$ $\"About$

You can put this solution on YOUR website!
imaginary roots come in pairs. 3+i, 3-i, -3
\n" ); document.write( "(x-(3+i))(x-(3-i))(x+3)
\n" ); document.write( " $\"%28x-%283%2Bi%29%29%28x-%283-i%29%29\"$
\n" ); document.write( " $\"%28x-3-i%29%28x-3%2Bi%29\"$
\n" ); document.write( " $\"x%5E2-3x%2Bix-3x%2B9-3i-ix%2B3i-i%5E2\"$
\n" ); document.write( "Combine like terms
\n" ); document.write( " $\"x%5E2%2B%28-3x%29%2B%28ix%29%2B%28-3x%29%2B9%2B%28-3i%29%2B%28-ix%29%2B%283i%29-i%5E2\"$
\n" ); document.write( " $\"x%5E2-6x%2B10\"$ \n" ); document.write( "

\n" );