document.write( "Question 1030215: find cubic polynomial with the sum, sum of the product of its zeros taken two at a time, and product of its zeros as 5, -2, -24 respectively. \n" ); document.write( "
Algebra.Com's Answer #645106 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "find cubic polynomial with the sum, sum of the product of its zeros taken two at a time, and product of its zeros as 5, -2, -24 respectively.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let this polynomial be \r\n" );
document.write( "\r\n" );
document.write( "p(x) = \"x%5E3+%2B+ax%5E2+%2B+bx+%2B+c\" = \"%28x-x%5B1%5D%29%2A%28x-x%5B2%5D%29%2A%28x-x%5B3%5D%29\",\r\n" );
document.write( "\r\n" );
document.write( "and \"x%5B1%5D\", \"x%5B2%5D\" and \"x%5B3%5D\" are its roots.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then, as you can check by performing multiplication and opening the parentheses,\r\n" );
document.write( "\r\n" );
document.write( "a = \"-%28x%5B1%5D+%2B+x%5B2%5D+%2B+x%5B3%5D%29\" = -5,\r\n" );
document.write( "\r\n" );
document.write( "b = \"x%5B1%5D%2Ax%5B2%5D+%2B+x%5B1%5D%2Ax%5B3%5D+%2B+x%5B2%5D%2Ax%5B3%5D\" = -2,\r\n" );
document.write( "\r\n" );
document.write( "c = \"-x%5B1%5D%2Ax%5B2%5D%2Ax%5B3%5D\" = 24.\r\n" );
document.write( "\r\n" );
document.write( "So, the polynomial is p(x) = \"x%5E3+-+5x%5E2++-+2x+%2B+24\".\r\n" );
document.write( "

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