document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612385>Question 612385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am needing some help. I am so confused and not even sure where to start. Please show all of your work when providing the answers so that I can fully understand the processes.  the volume in cubic work feet of a workshop's storage chest is expressed as the product of three dimensions: V(x)=x^3-5x^2-2x+24.  The depth is x+2.  I need to 1)fnd the linear expressions with integer coefficients for the other dimensions and 2)if the depth of the chest is 7 feet, what are the other dimensions?\r<BR>\n" );
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document.write( "Again, please show your work when providing the answers.  Again I don't even know where to start. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385404 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=385404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the volume in cubic work feet of a workshop's storage chest is expressed as the product of three dimensions: V(x)=x^3-5x^2-2x+24. The depth is x+2. I need to 1)fnd the linear expressions with integer coefficients for the other dimensions and 2)if the depth of the chest is 7 feet, what are the other dimensions? <BR>\n" );
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document.write( "V(x)=x^3-5x^2-2x+24. The depth is x+2<BR>\n" );
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document.write( "Divide \"V(x)\" by x+2 using synthetic division:<BR>\n" );
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document.write( "-2)....1....-5....-2....24<BR>\n" );
document.write( "........1.....-7....12..|..0<BR>\n" );
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document.write( "Quotient = x^2-7x+12<BR>\n" );
document.write( "Factor the Quotient:<BR>\n" );
document.write( "x^2 -7x+12 = (x-3)(x-4)<BR>\n" );
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document.write( "The \"other\" dimensions are (x-3) and (x-4)<BR>\n" );
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document.write( "If x+2 = 7 ; x = 5<BR>\n" );
document.write( "Then x-3 = 2<BR>\n" );
document.write( "And x-4 = 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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