document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=579792>Question 579792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We just started working on polynomials in my algebra class and I got the problem:\r<BR>\n" );
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document.write( "The area of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x%5E5y%5E3 ALIGN=MIDDLE  ALT=\"24x%5E5y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and they gave the the height which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E2y%5E2 ALIGN=MIDDLE  ALT=\"8x%5E2y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and I honestly have no idea how to solve this question. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371061 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371061\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> They are saying that<BR>\n" );
document.write( "( area ) = ( length ) x ( height )<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "Area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24x%5E5%2Ay%5E3+ ALIGN=MIDDLE  ALT=\"+24x%5E5%2Ay%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Height = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8x%5E2%2Ay%5E2+ ALIGN=MIDDLE  ALT=\"+8x%5E2%2Ay%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+ ALIGN=MIDDLE  ALT=\"+L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = length<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24x%5E5%2Ay%5E3+=+L%2A8x%5E2%2Ay%5E2+ ALIGN=MIDDLE  ALT=\"+24x%5E5%2Ay%5E3+=+L%2A8x%5E2%2Ay%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you divide both sides of an equation by the same<BR>\n" );
document.write( "thing, then the equation is still true, that is the<BR>\n" );
document.write( "left side still equals the right side. <BR>\n" );
document.write( "That means I can divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8x%5E2%2Ay%5E2+ ALIGN=MIDDLE  ALT=\"+8x%5E2%2Ay%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+24x%5E5%2Ay%5E3+%29+%2F+%28+8x%5E2%2Ay%5E2+%29+=+L%2A%28+8x%5E2%2Ay%5E2+%29+%2F+%28+8x%5E2%2Ay%5E2+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "On the right side, everything cancels except <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+ ALIGN=MIDDLE  ALT=\"+L+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "now I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+24x%5E5%2Ay%5E3+%29+%2F+%28+8x%5E2%2Ay%5E2+%29+=+L+ ALIGN=MIDDLE  ALT=\"+%28+24x%5E5%2Ay%5E3+%29+%2F+%28+8x%5E2%2Ay%5E2+%29+=+L+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I just have to do the division on the left side<BR>\n" );
document.write( "This is a division of products. I can express it as <BR>\n" );
document.write( "products of divisions to simplify it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+24%2F8+%29%2A%28+x%5E5%2Fx%5E2+%29%2A%28+y%5E3%2Fy%5E2+%29+=+L+ ALIGN=MIDDLE  ALT=\"+%28+24%2F8+%29%2A%28+x%5E5%2Fx%5E2+%29%2A%28+y%5E3%2Fy%5E2+%29+=+L+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you just have to know how to handle exponents<BR>\n" );
document.write( "I'll rewrite everything in long form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28%28+x%2Ax%2Ax%2Ax%2Ax+%29%2F%28+x%2Ax+%29%29%2A%28%28+y%2Ay%2Ay+%29+%2F+%28+y%2Ay+%29%29+=+L+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now do the cancellations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A%28+x%2Ax%2Ax+%29%2Ay++=+L+ ALIGN=MIDDLE  ALT=\"+3%2A%28+x%2Ax%2Ax+%29%2Ay++=+L+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Finally, I put <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the left and say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2Ax%2Ax+=+x%5E3+ ALIGN=MIDDLE  ALT=\"+x%2Ax%2Ax+=+x%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+3x%5E3%2Ay+ ALIGN=MIDDLE  ALT=\"+L+=+3x%5E3%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hope this helps </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );