document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=397336>Question 397336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to factor this trinomial completely, I thinks it is \"not factorable\" using integers but I want to be sure.\r<BR>\n" );
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document.write( "8t^2 - 3t - 4\r<BR>\n" );
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document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284252 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=284252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > to be factorable using integers, it has to be factorable using rational numbers.  The condition is, the discriminant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+-+4ac ALIGN=MIDDLE  ALT=\"b%5E2+-+4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > has to be a perfect square rational number.  In your question, a = 8, b=-3, and c = -4.<BR>\n" );
document.write( "==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%29%5E2+-+4%2A8%2A-4+=+137 ALIGN=MIDDLE  ALT=\"%28-3%29%5E2+-+4%2A8%2A-4+=+137\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is not a perfect square rational number.  Thus it cannot be factored using rational numbers, and hence not using integers. </SPAN>\n" );
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