document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64779>Question 64779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of the box below is represented by <BR>\n" );
document.write( "(x2 + 5x + 6)(x + 5). Find the polynomial that represents the area of the bottom of the box. Note that the height of the box is x + 2.   (Hint:  V= Area x height)\r<BR>\n" );
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document.write( "I appologize for the picture of the box not copying to this template. I hope that the question is still understandable.<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 #45294 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=45294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are told that the Volume (V) of the box is area x height.\r<BR>\n" );
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document.write( "And we are also told that the Volume (V) of the box is (x^2 + 5x + 6)(x + 5) and that the height is x+2 \r<BR>\n" );
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document.write( "Now we want to find the polynomial that represents the area of the bottom of the box.\r<BR>\n" );
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document.write( "The quadratic (x^2+5x+6) can be readily factored and we get:<BR>\n" );
document.write( "(x^2+5x+6)=(x+2)(x+3)  but we can see that x+2 is the height of the box so we'll replace it with (h) for height\r<BR>\n" );
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document.write( "V=area(a) x height (h) = (h)(x+3)(x+5) so we have\r<BR>\n" );
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document.write( "a x h =(h)(x+3)(x+5) divide both sides by h and we get:<BR>\n" );
document.write( "a=(x+3)(x+5) expanding we have x^2+8x+15\r<BR>\n" );
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document.write( "Thus, the area of the bottom of the box is represented by the polynomial:\r<BR>\n" );
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document.write( "x^2+8x+15\r<BR>\n" );
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document.write( "Hope this helps.  Happy holidays.------ptaylor\r<BR>\n" );
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