document.write( "Question 984481: Find the value of k if (x-1) is a factor of 4x3+ 3x2-4x +k. \n" ); document.write( "
Algebra.Com's Answer #605270 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "The fact that  \"x-1\"  is a factor of  \"4x%5E3+%2B+3x%5E2+-+4x++%2B+k\"  means that  1  is the root of this polynomial,  i.e. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4%2A1%5E3+%2B+3%2A1%5E2+-+4%2A1+%2B+k\" = \"0\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It gives you  k = -4 - 3 + 4 = -3.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer.  k = -3.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );