document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=575714>Question 575714</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having a real hard time with factoring.  This stuff just is not clicking.  Can you please help me?  \r<BR>\n" );
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document.write( "Here is my problem:\r<BR>\n" );
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document.write( "25t2 the 2 beside t is squared.\r<BR>\n" );
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document.write( "25t2+10t+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369591 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 25x^2\ +\ 10x\ +\ 1\">\r<BR>\n" );
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document.write( "Remember using FOIL to multiply two binomials?\r<BR>\n" );
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document.write( "The high order term in your product is always the product of the two first terms in the two binomials.  So, how many ways are there to make <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 25x^2\">?\r<BR>\n" );
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document.write( "There are only two ways to do it:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 25x\ \cdot\ x\"> or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5x\ \cdot\ 5x\">.\r<BR>\n" );
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document.write( "Likewise, the constant term in your trinomial is the product of the two 2nd terms in the two binomials.  How many ways are there to make 1 as a product of two integers?  Just 1, namely 1 times 1.\r<BR>\n" );
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document.write( "So there are really only two possibilities for the factorization of\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 25x^2\ +\ 10x\ +\ 1\">\r<BR>\n" );
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document.write( "Either:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (25x\ +\ 1)(x\ +\ 1)\">\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (5x\ +\ 1)(5x\ +\ 1)\">\r<BR>\n" );
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document.write( "Multiply them out and see which one works.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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