document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252453>Question 252453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor completely over the set of REAL numbers: x^4-x^3-5x^2+3x+6. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184365 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184365\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Real answers will occur when the curve crosses over or touches the X-axis. If you put a quick sketch together, you will quickly see it never crosses the X-axis. The lowest pint is at (0,6). Since the leading coefficient is positive and the degree is 4, we know it will open up on the left and right; end behavior is positive. Since it never reaches the X-axis there are no real solution and you cannot factor this over the reals. <BR>\n" );
document.write( "ANSWER: no solution for factoring over the reals. </SPAN>\n" );
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