document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115090>Question 115090</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether each of the following trinomials is perfect square. If it is, factor the trinomial.\r<BR>\n" );
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document.write( "Stumped \r<BR>\n" );
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document.write( "x squared-24x+48 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83728 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the polynomial is a perfect square, then there is an a such that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-24x%2B48=%28x%2Ba%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-24x%2B48=%28x%2Ba%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can expand the right hand side and match up terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-24x%2B48=x%5E2%2B2ax%2Ba%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-24x%2B48=x%5E2%2B2ax%2Ba%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You have to satisfy two terms for the equation to be a perfect square<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24x=2ax ALIGN=MIDDLE  ALT=\"-24x=2ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48=a%5E2 ALIGN=MIDDLE  ALT=\"48=a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24x=2ax ALIGN=MIDDLE  ALT=\"-24x=2ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24=2a ALIGN=MIDDLE  ALT=\"-24=2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=12%29 ALIGN=MIDDLE  ALT=\"highlight%28a=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 2,<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48=a%5E2 ALIGN=MIDDLE  ALT=\"48=a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%2848%29 ALIGN=MIDDLE  ALT=\"a=sqrt%2848%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=6.93%29 ALIGN=MIDDLE  ALT=\"highlight%28a=6.93%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since you can't satisfy both requirements 1 and 2, the polynomial is not a perfect square. <BR>\n" );
document.write( " </SPAN>\n" );
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