document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1026742>Question 1026742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x=1+<2+<3<BR>\n" );
document.write( "<=underroot<BR>\n" );
document.write( "Then what is the value of<BR>\n" );
document.write( "2x^4-8x^3-5x^2+26x-28 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642067 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=642067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There must be a better trick. Let me know.<BR>\n" );
document.write( "Maybe it is easier using synthetic division, but it did not sound so.<BR>\n" );
document.write( "Here is my trick.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2Bc ALIGN=MIDDLE  ALT=\"x=1%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=sqrt%282%29%2Bsqrt%283%29 ALIGN=MIDDLE  ALT=\"c=sqrt%282%29%2Bsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=2x%5E4-8x%5E3-5x%5E2%2B26x-28 ALIGN=MIDDLE  ALT=\"P%28x%29=2x%5E4-8x%5E3-5x%5E2%2B26x-28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%2Bc%29=2%281%2Bc%29x%5E4-8%281%2Bc%29%5E3-5%281%2Bc%29%5E2%2B26%281%2Bc%29-28 ALIGN=MIDDLE  ALT=\"P%281%2Bc%29=2%281%2Bc%29x%5E4-8%281%2Bc%29%5E3-5%281%2Bc%29%5E2%2B26%281%2Bc%29-28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%2Bc%29=2%281%2B4c%2B6c%5E2%2B4c%5E3%2Bc%5E4%29-8%281%2B3c%2B3c%5E2%2Bc%5E3%29-5%281%2B2c%2Bc%5E2%29%2B26%281%2Bc%29-28 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%286%2C11%2C%0D%0AP%281%2Bc%29%2C%22=%22%2C2%2C%22%2B%22%2C8c%2C%22%2B%22%2C12c%5E2%2C%22%2B%22%2C8c%5E3%2C%22%2B%22%2Cc%5E4%2C%0D%0A%22+%22%2C%22-%22%2C8%2C%22-%22%2C24c%2C%22-%22%2C24c%5E2%2C%22-%22%2C8c%5E3%2C%22+%22%2C%22+%22%2C%0D%0A%22+%22%2C%22-%22%2C5%2C%22-%22%2C10c%2C%22-%22%2C5c%5E2%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%0D%0A%22+%22%2C%22%2B%22%2C26%2C%22%2B%22%2C26c%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%0D%0A%22+%22%2C%22-%22%2C28%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%22+%22%2C%0D%0A%22=%22%2C%22-%22%2C13%2C%22%2B%22%2C0%2C%22-%22%2C17c%5E2%2C%22%2B%22%2C0%2C%22%2B%22%2C2c%5E4%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is considerably simpler.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=%28sqrt%282%29%2Bsqrt%283%29%29%5E2=%28sqrt%282%29%29%5E2%2B2%2Asqrt%282%29%2Asqrt%283%29%2B%28sqrt%283%29%29%5E2=2%2B2sqrt%286%29%2B3=5%2B2sqrt%286%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E4=%28c%5E2%29%5E2=%285%2B2sqrt%286%29%29%5E2=5%5E2%2B2%2A5%2A%282sqrt%286%29%29%2B%282sqrt%286%29%29%5E2=25%2B20sqrt%286%29%2B2%5E2%2A%28sqrt%286%29%29%5E2=25%2B20sqrt%286%29%2B4%2A6=25%2B20sqrt%286%29%2B24=49%2B20sqrt%286%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So substituting the expressiond found for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2 ALIGN=MIDDLE  ALT=\"c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E4 ALIGN=MIDDLE  ALT=\"c%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > into<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%2Bsqrt%282%29%2Bsqrt%283%29%29=P%281%2Bc%29=-13-17c%5E2%2B2c%5E4 ALIGN=MIDDLE  ALT=\"P%281%2Bsqrt%282%29%2Bsqrt%283%29%29=P%281%2Bc%29=-13-17c%5E2%2B2c%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%2Bsqrt%282%29%2Bsqrt%283%29%29=-13-17%285%2B2sqrt%286%29%29%2B2%2849%2B20sqrt%286%29%29=-13-85-34sqrt%286%29%2B98%2B40sqrt%286%29=highlight%286sqrt%286%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTE: Can someone please tell me what is the simpler way to the solution that I overlooked? I will be very, very grateful to whoever tells me. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );