document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31023>Question 31023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the polynomial is irreducible over Q(rationals)<BR>\n" );
document.write( "127t^5 - 5t - 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20018 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SEE THE FOLLOWING AND TRY<BR>\n" );
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document.write( "127t^5 - 43t^2 + 7=F(T)<BR>\n" );
document.write( "FIND FACTORS FOR CONSTANT TERM ...THEY ARE 1,-1,7 AND -7......CALL THIS N<BR>\n" );
document.write( "FIND FACTORS FOR HIGHEST DEGREE TERM..THEY ARE 1,-1,127,-127....CALL THIS...D<BR>\n" );
document.write( "RATIONAL ROOTS COULD THEN BE ONLY FROM N/D...THAT IS<BR>\n" );
document.write( "1/1=1......1/-1=-1........1/127......1/-127<BR>\n" );
document.write( "7/1=7......7/-1=-7........7/127......7/-127<BR>\n" );
document.write( "THAT IS ALL......... SO TEST EACH OF THEM IN THE GIVEN EQN. TO FIND IF IT GIVES A ZERO..THEN IT IS REDUCIBLE OTHERWISE NOT<BR>\n" );
document.write( "WE FIND THAT F(T) IS NOT ZERO FOR ANY OF THESE VALUES..SO IT IS IRREDUCIBLE OVER Q(RATIONAL)  </SPAN>\n" );
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