document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122263>Question 1122263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Found this on an SAT Practice test.\r<BR>\n" );
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document.write( "(6x-1)/(x+4)\r<BR>\n" );
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document.write( "Which of the following is equivalent to the expression above?\r<BR>\n" );
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document.write( "A) 6-[25/(x+4)]<BR>\n" );
document.write( "B) 6-[1/(x+4)]<BR>\n" );
document.write( "C) 6-(1/4)<BR>\n" );
document.write( "D) (6-1)/4\r<BR>\n" );
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document.write( "Hopefully the parentheses I added make it less confusing.\r<BR>\n" );
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document.write( "So, I know it's not C or D, since, well, where did the x go? So, that leaves A and B. I looked at the answers and found that it is A, but why? How can I get from (6x-1)/(x+4) to 6-[25/(x+4)]? Please show steps, I need to learn this so I can get this right in the future. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738339 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "There are a couple of ways to get there.  The straight-up way is to simply do polynomial long division on the original rational expression:\r<BR>\n" );
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document.write( "            6 \r\n" );
document.write( "      ________\r\n" );
document.write( "x + 4 )6x -  1\r\n" );
document.write( "       6x + 24  {remember, change the sign and add}\r\n" );
document.write( "       _______\r\n" );
document.write( "          - 25\r\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ +\ 4\"> goes into <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 6x\ -\ 1\"> 6 times with a remainder of -25.  Or, as answer A puts it:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6\ -\ \(\frac{25}{x\ +\ 4}\)\">\r<BR>\n" );
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document.write( "Or you could just get clever and notice that -1 can be written as 24 - 25:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{6x\ +\ 24\ -\ 25}{x\ +\ 4}\ =\ \frac{6x\ +\ 24}{x\ +\ 4}\ -\ \frac{25}{x\ +\ 4}\ =\ \frac{6(x\ +\ 4)}{x\ +\ 4}\ -\ \frac{25}{x\ +\ 4}\ =\ 6\ -\ \frac{25}{x\ +\ 4}\"><BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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