document.write( "Question 1177973: Find the value of k if (x^3-x^2-5x-2)(x^4+x^3+kx^2-5x+2)=x^7-4x^5-14x^4-5x^3+19x^2-4. \n" ); document.write( "
Algebra.Com's Answer #807136 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
Find the value of \"k\" if \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "....multiply left side\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "...............simplify\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"k+x%5E5+-+k+x%5E4+-+5+k+x%5E3+-+2+k+x%5E2+-+2+x%5E5+%2B+2+x%5E4+%2B+10+x%5E3+%2B+4+x%5E2+=+0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"k+%28x%5E5+-+x%5E4+-+5x%5E3+-+2x%5E2%29+-+2+%28x%5E5+-x%5E4+-5+x%5E3+-2x%5E2%29+=+0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28k+-+2+%29%28x%5E5+-x%5E4+-5+x%5E3+-2x%5E2%29+=+0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "that will be true if \"k-2=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"k=2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "\"x%5E7+-+4x%5E5+-+14x%5E4+-+5x%5E3+%2B+19x%5E2+-+4=x%5E7-4x%5E5-14x%5E4-5x%5E3%2B19x%5E2-4\" which is true\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );