document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948617>Question 948617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a box is given by V = 2x^3 - 11x^2 + 10x + 8. Find an expression for the missing dimension.\r<BR>\n" );
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document.write( "Length = 2x + 1<BR>\n" );
document.write( "Face Area= x - 4 * ?\r<BR>\n" );
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document.write( "What I have so far is:\r<BR>\n" );
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document.write( "V = 2x + 1 * x - 4 * ?\r<BR>\n" );
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document.write( "Which is:<BR>\n" );
document.write( "2x^3 - 11x^2 + 10x + 8 = 2x + 1 * x - 4 * ?\r<BR>\n" );
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document.write( "I used synthetic division to divide V by x - 4 and got 2x^2 - 3x - 2\r<BR>\n" );
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document.write( "Then I used polynomial long division to divide that by  2x + 1 and got x + 2 \r<BR>\n" );
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document.write( "However the answer key says it is x - 2 not x + 2.<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 #579039 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=579039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The volume of a box is given by V = 2x^3 - 11x^2 + 10x + 8. Find an expression for the missing dimension.\r<BR>\n" );
document.write( "\n" );
document.write( "Length = 2x + 1<BR>\n" );
document.write( "Face Area= x - 4 * ?\r<BR>\n" );
document.write( "\n" );
document.write( "What I have so far is:\r<BR>\n" );
document.write( "\n" );
document.write( "V = 2x + 1 * x - 4 * ?\r<BR>\n" );
document.write( "\n" );
document.write( "Which is:<BR>\n" );
document.write( "2x^3 - 11x^2 + 10x + 8 = 2x + 1 * x - 4 * ?<BR>\n" );
document.write( "I used synthetic division to divide V by x - 4 and got 2x^2 - 3x - 2\r<BR>\n" );
document.write( "\n" );
document.write( "Then I used polynomial long division to divide that by  2x + 1 and got x + 2 \r<BR>\n" );
document.write( "\n" );
document.write( "However the answer key says it is x - 2 not x + 2.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 4 color = \"indigo\"><b>Since you already have 2 dimensions, you can multiply them to get the DIVISOR\r\n" );
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document.write( "Thus, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+%2B+1%29%28x+-+4%29+=+2x%5E2+-+7x+-+4 ALIGN=MIDDLE  ALT=\"%282x+%2B+1%29%28x+-+4%29+=+2x%5E2+-+7x+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
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document.write( "We then proceed by dividing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3+-+11x%5E2+%2B+10x+%2B+8 ALIGN=MIDDLE  ALT=\"2x%5E3+-+11x%5E2+%2B+10x+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-+7x+-+4 ALIGN=MIDDLE  ALT=\"2x%5E2+-+7x+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
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document.write( "                        x - 2                                  \r\n" );
document.write( "2x^2 - 7x - 4 <span  DISABLED_style= \"text-decoration: overline\">) 2x³ - 11x² + 10x   +   8</span>\r\n" );
document.write( "                       <u>2x³ -  7x²  -   4x</u>\r\n" );
document.write( "                             -  4x² + 14x   +   8\r\n" );
document.write( "                             <u> - 4x² + 14x   +   8</u></PRE><BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">As seen, the quotient is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+-+2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >    <BR>\n" );
document.write( "You can do the check!! <BR>\n" );
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document.write( "</font face = \"Tohoma\" size = 4 color = \"indigo\"></b>Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.<BR>\n" );
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