document.write( "Question 1149396: If F(x) = ax²+bx+c, and F(x+5) = x²+9x-7\r
\n" ); document.write( "\n" ); document.write( "What is the sum of a+b+c? \n" ); document.write( "
Algebra.Com's Answer #770733 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "The sum a + b + c  of the coefficients of the polynomial  F(x) = ax^2 + bx + c  is equal\r\n" );
document.write( "\r\n" );
document.write( "to the value of the polynomial at x= 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Therefore, to get the value of the sum,  calculate F(1).\r\n" );
document.write( "\r\n" );
document.write( "To do it, put x= -4 in the expression F(x+5) = x^2 +9x - 7.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You will get then\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    a + b + c = F(1) = F(-4+5) = (-4)^2 + 9*(-4) - 7 = 16 - 36 - 7 = -27.    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( "Every time, when the problem asks you about the sum of the coefficients of a polynomial,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            REMEMBER  (!) \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "that this sum is the value of the polynomial at x= 1.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Every time, when the problem asks you about the alternate sum of the coefficients of a polynomial,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            REMEMBER  (!) \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "that this sum is the value of the polynomial at x= -1.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );