document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040174>Question 1040174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor completely and show a detailed solution\r<BR>\n" );
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document.write( "(2x^2 - 4x + 1)^2 - 14x^2 + 28x + 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656017 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2-4x%2B1%29%5E2-14x%5E2%2B28x%2B3=%282x%5E2-4x%2B1%29%5E2-14x%5E2%2B28x-7%2B10=%282x%5E2-4x%2B1%29%5E2-7%282x%5E2-4x%2B1%29%2B10 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%5E2-4x%2B1 ALIGN=MIDDLE  ALT=\"y=2x%5E2-4x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "We can re-write the original expression as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-7y%2B10=%28y-5%29%28y-2%29 ALIGN=MIDDLE  ALT=\"y%5E2-7y%2B10=%28y-5%29%28y-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2x%5E2-4x%2B1 ALIGN=MIDDLE  ALT=\"y=2x%5E2-4x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-5=2x%5E2-4x-4%2C%22and%22%2Cy-2=2x%5E2-4x-1%29 ALIGN=MIDDLE  ALT=\"system%28y-5=2x%5E2-4x-4%2C%22and%22%2Cy-2=2x%5E2-4x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%282x%5E2-4x%2B1%29%5E2-14x%5E2%2B28x%2B3=%282x%5E2-4x-4%29%282x%5E2-4x-1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%282x%5E2-4x%2B1%29%5E2-14x%5E2%2B28x%2B3=%282x%5E2-4x-4%29%282x%5E2-4x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is as far as we can go, unless we use ugly irrational coefficients,<BR>\n" );
document.write( "because all the zeros of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-4x-4 ALIGN=MIDDLE  ALT=\"2x%5E2-4x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-4x-1 ALIGN=MIDDLE  ALT=\"2x%5E2-4x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > are irrational numbers. </SPAN>\n" );
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