document.write( "Question 982868: Find the polynomial with leading coefficient -2 that has degree 3 and roots 2 and 3i. \n" ); document.write( "
Algebra.Com's Answer #603645 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "I 'll do one exactly like it for you to use as a model to dop yours:\r\n" );
document.write( "\r\n" );
document.write( "Find the polynomial with leading coefficient -3 that has degree 3 and roots 4 and 5i.\r\n" );
document.write( "\r\n" );
document.write( " Since 5i is a root, so is -5i:\r\n" );
document.write( "\r\n" );
document.write( "   x = 4,     x = 5i,    x = -5i\r\n" );
document.write( " x-4 = 0,  x-5i = 0,  x+5i = 0\r\n" );
document.write( " \r\n" );
document.write( "p(x) = -3(x-4)(x-5i)(x+5i)\r\n" );
document.write( "\r\n" );
document.write( "p(x) = -3(x-4)(x2+5ix-5ix-25i2\r\n" );
document.write( "\r\n" );
document.write( "p(x) = -3(x-4)(x2-25(-1))\r\n" );
document.write( "\r\n" );
document.write( "p(x) = -3(x-4)(x2+25)\r\n" );
document.write( "\r\n" );
document.write( "p(x) = -3(x3-4x2+25x-100)\r\n" );
document.write( "\r\n" );
document.write( "p(x) = -3x3+12x2-75x+300\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "
\n" );