document.write( "Question 1200623: A quadratic polynomial of the form y=x^2+bx+c has x-intercepts at x=-1 and x=-10. Find the coefficients of b and c.\r
\n" ); document.write( "\n" ); document.write( "If anyone is able to help me solve this, I would appreciate it :) \n" ); document.write( "

Algebra.Com's Answer #834796 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "The roots of the polynomial are -1 and -10 (given).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, due to Vieta's theorem, the coefficient \"b\" is the sum of the roots\r\n" );
document.write( "with the opposite sign\r\n" );
document.write( "\r\n" );
document.write( "    b = -((-1) + (-10)) = -(-11) = 11.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Due to Vieta's theorem, the coefficient \"c\" is the product of the roots\r\n" );
document.write( "\r\n" );
document.write( "    c = (-1)*(-10) = 10.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  b = 11;  c = 10.\r\n" );
document.write( "

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

\n" );