document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77225>Question 77225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. <BR>\n" );
document.write( "Determine whether the following trinomial is a perfect square. If it is, factor the trinomial.<BR>\n" );
document.write( "x^2 - 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 #55334 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=55334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If we have something like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If we look at the last term, we can determine if the trinomial is a perfect square. If the last term is a perfect square, then we take the square root and then double that value to get the middle term. If the middle term equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%28c%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%28c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and c is a perfect square, then we have a trinomial that is a perfect square. Since 48 is not a perfect square, the entire trinomial is not a perfect square. It's that simple. This idea can be applied to something like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x%2B9 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since 9 is a perfect square, we take the square root of 9 to get 3, and then double 3 to get 6. This shows that the trinomial <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x%2B9 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a perfect square. </SPAN>\n" );
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