document.write( "Question 393704: Find k such that x+2 is a factor of x^3-kx^2+3x+7k \n" ); document.write( "
Algebra.Com's Answer #279584 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
By the remainder theorem, we must have\r
\n" ); document.write( "\n" ); document.write( "\"%28-2%29%5E3+-+k%28-2%29%5E2+%2B+3%2A%28-2%29+%2B+7k+=+0\".
\n" ); document.write( "<==> -8 - 4k - 6 + 7k = 0
\n" ); document.write( "<==> -14 + 3k = 0
\n" ); document.write( "==> 3k = 14
\n" ); document.write( "==> k = 14/3.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );