document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941407>Question 941407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation, kx^2 - 3x - k = 0 has a root of x = 2. Determine the value of k and write the expression, kx^2 - 3x - k, as a product of factors.\r<BR>\n" );
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document.write( "Very confused on how I go about solving this question. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #573842 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=573842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given equation<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+kx%5E2-3x-k=0 ALIGN=MIDDLE  ALT=\"+kx%5E2-3x-k=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   put x=2 in the above equation<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k%2A2%5E2-3%2A2-k+=0 ALIGN=MIDDLE  ALT=\"+k%2A2%5E2-3%2A2-k+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4k-6-k=0 ALIGN=MIDDLE  ALT=\"4k-6-k=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3k-6=0 ALIGN=MIDDLE  ALT=\"+3k-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    move -6  to the right<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++3k+=+6 ALIGN=MIDDLE  ALT=\"++3k+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "   divide with 3 on both sides<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3k%2F3++=+6%2F3 ALIGN=MIDDLE  ALT=\"+3k%2F3++=+6%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+=2 ALIGN=MIDDLE  ALT=\"+k+=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " now put k = 2 in  the expression  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++kx%5E2-3x-k ALIGN=MIDDLE  ALT=\"++kx%5E2-3x-k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2-3x-2 ALIGN=MIDDLE  ALT=\"+2x%5E2-3x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " now we have to write above expression as product of factors<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2-3x-2+=++2x%5E2-4x%2Bx-2 ALIGN=MIDDLE  ALT=\"+2x%5E2-3x-2+=++2x%5E2-4x%2Bx-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                = 2x(x-2)+1(x-2)<BR>\n" );
document.write( "          =(x-2)(2x+1) </SPAN>\n" );
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