document.write( "Question 1120261: In polynomial p(x) = 3(x^2 + 10x + 5) - 5(x-k) , k is a constant. If p(x) is divisible by x, what is the value of k?\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #735925 by ikleyn(52782)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "The fact that the polynomial p(x) is divisible by \"x\" means that its constant term is zero.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The constant term of this polynomial is (5 + 5k),  so,  5 + 5k  must be equal to zero:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    5 + 5k = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence,  k = -1.\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" );