document.write( "Question 1180171: The function of f(x) = 3x^2+9x-3 has x-intercepts as p and q. So what is the value of p-pq+q? \n" ); document.write( "
Algebra.Com's Answer #809775 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "According to the Vieta's theorem,\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    p + q = -9/3 = -3   and   pq = -3/3 = -1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore,   p - pq + q = -3 - (-1) = -3 + 1 = -2.      ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice, that in this problem, you do not need to solve equation and to find its roots.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Using the Vieta's theorem, you can answer the problem's question without doing this boring work.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );