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 #579017 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=579017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an expression for width multiplied by height using polynomial division for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%2F%282x%2B1%29 ALIGN=MIDDLE  ALT=\"V%2F%282x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  In other words, L for length, w for width, h for height,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wh=V%2F%282x%2B1%29 ALIGN=MIDDLE  ALT=\"wh=V%2F%282x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You could expect wh is a factorable quadratic expression.\r<BR>\n" );
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document.write( "Polynomial Division for V/L:\r<BR>\n" );
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document.write( "__________________x^2_______-6x________8________---------------------quotient line<BR>\n" );
document.write( "____________|________________________________________<BR>\n" );
document.write( "____________|<BR>\n" );
document.write( "____________|_____2x^3_____-11x^2______10x________8----------------dividend line<BR>\n" );
document.write( "2x+1________|<BR>\n" );
document.write( "____________________________________________________<BR>\n" );
document.write( "__________________2x^2_____x^2<BR>\n" );
document.write( "________________________________<BR>\n" );
document.write( "_________________0________-12x^2______10x<BR>\n" );
document.write( "__________________________-12x^2_____-6x<BR>\n" );
document.write( "____________________________________________<BR>\n" );
document.write( "___________________________0_________16x_________8<BR>\n" );
document.write( "_____________________________________16x_________8<BR>\n" );
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document.write( "_____________________________________0__________0----------------shows any remainder\r<BR>\n" );
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document.write( "The division operation indicates <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=wh=x%5E2-6x%2B8 ALIGN=MIDDLE  ALT=\"wh=x%5E2-6x%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "w*h, an area, may be factorable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x-4%29=wh ALIGN=MIDDLE  ALT=\"%28x-2%29%28x-4%29=wh\"   DISABLED_style= \"max-width:90%; height:auto;\" >, an area expression.\r<BR>\n" );
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document.write( "Not in any particular order, the dimensions OTHER THAN L are   (x-2)  and (x-4). </SPAN>\n" );
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