document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81556>Question 81556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have the following: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2-18x%2B8%29%2F%282x-4%29 ALIGN=MIDDLE  ALT=\"%282x%5E2-18x%2B8%29%2F%282x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The instructions are to divide.  I believe the answer to be x-7 with a remainder of 10/x-2.  However, I am not sure how to check if this answer is correct. Would you please help me solve?\r<BR>\n" );
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document.write( "Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58394 by </B><A HREF=/tutors/aboutme.mpl?userid=doctor_who><B>doctor_who(15)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doctor_who><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's a shame it's 18x and not 8x otherwise it would divide nice and easily.  However, if it really is 18x then your answer looks on the right lines to me.<BR>\n" );
document.write( "Here's how I did it.<BR>\n" );
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document.write( "Starting out, we can divide both the top and the bottom by 2 to get :<BR>\n" );
document.write( "(x^2 - 9x + 4)/(x-2)<BR>\n" );
document.write( "Now, the top half is almost (x-2)(x-7),  (it looks like you spotted this) since (x-2)(x-7) = 2x^2 - 9x + 14.<BR>\n" );
document.write( "So we can re-write as<BR>\n" );
document.write( "((x-2)(x-7)-10)/(x-2)<BR>\n" );
document.write( "Which leads to:   (x-7) - 10/(x-2) </SPAN>\n" );
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