document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=591565>Question 591565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find k such that f(x)=x^3-kx^2+2 has the factor x-2.\r<BR>\n" );
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document.write( "I have no idea how to even approach this problem.\r<BR>\n" );
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document.write( "Perhaps I could use synthetic division?\r<BR>\n" );
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document.write( "2| 1  -k    0    2<BR>\n" );
document.write( "       2 4-2k 8-4k<BR>\n" );
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document.write( "   1 2-k 4-2k 10-4k\r<BR>\n" );
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document.write( "x^2+(2-k)x^2+(4-2k)x+10-4k\r<BR>\n" );
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document.write( "Well, that was a disaster.\r<BR>\n" );
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document.write( "Any help?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375662 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=375662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=x^3-kx^2+2 has the factor x-2.\r<BR>\n" );
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document.write( "The factor is x-2\r<BR>\n" );
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document.write( "2 is the zero of the function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=+%282%29%5E3-k%282%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"f%282%29=+%282%29%5E3-k%282%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%5E3-k%282%29%5E2%2B2%7D=0 ALIGN=MIDDLE  ALT=\"%282%29%5E3-k%282%29%5E2%2B2%7D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "8-4k+2=0\r<BR>\n" );
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document.write( "4k=10<BR>\n" );
document.write( "x= 10/4<BR>\n" );
document.write( "k=5/2\r<BR>\n" );
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