document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=732010>Question 732010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve and show all work. It would be greatly appreciated if you explained it too. Thanks.<BR>\n" );
document.write( "Divide:<BR>\n" );
document.write( "4x^2 - 15 / 2x - 5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447805 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=447805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you want to divide 4x^2 - 15 by (2x - 5)\r<BR>\n" );
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document.write( "you need to fill in the missing orders of exponents.\r<BR>\n" );
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document.write( "when you do that, your equation you are dividing into will be equal to:\r<BR>\n" );
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document.write( "4x^2 + 0x - 15\r<BR>\n" );
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document.write( "you want to divide that by (2x - 5)\r<BR>\n" );
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document.write( "you start by dividing 2x into 4x^2 to get 2x because 2x * 2x = 4x^2\r<BR>\n" );
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document.write( "you then multiply (2x - 5) by 2x to get 4x^2 - 10x\r<BR>\n" );
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document.write( "you then subtract 4x^2 - 10x from 4x^2 + 0x - 15 to get 10x - 15\r<BR>\n" );
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document.write( "you then divide 2x into 10x to get 5 because 5 * 2x = 10x\r<BR>\n" );
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document.write( "you then multiply (2x - 5) by 5 to get 10x - 25\r<BR>\n" );
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document.write( "you then subtract 10x - 25 from 10x - 15 to get + 10\r<BR>\n" );
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document.write( "since + 10 is of a lower order than 2x, you are done and your remainder is 10.\r<BR>\n" );
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document.write( "your quotient is 2x + 5 + 10/(2x - 5)\r<BR>\n" );
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document.write( "instructions on how to do polynomial division can be found at the following website.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut36_longdiv.htm\" target = \"_blank\">http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut36_longdiv.htm</a>\r<BR>\n" );
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document.write( "instructions on how to do synthetic division can be found at the following website.\r<BR>\n" );
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