document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=952659>Question 952659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all the real zeros of P(x), use the quadratic equation if necessary<BR>\n" );
document.write( "P(x) = x^4-7x^3+14x^2-3x-9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581788 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=581788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find all the real zeros of P(x), use the quadratic equation if necessary<BR>\n" );
document.write( "P(x) = x^4-7x^3+14x^2-3x-9<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Use Rational Roots Theorem with synthetic division.\r<BR>\n" );
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document.write( "...0..|....1.....-7......14......-3......-9....<BR>\n" );
document.write( "...1..|....1.....-6......8........5.......-4<BR>\n" );
document.write( "...2..|....1.....-5......4........5........1 (real root between 1 & 2) (change of sign of last numbers)<BR>\n" );
document.write( "...3..|....1.....-4......2........3........0 (3 is a root)<BR>\n" );
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document.write( "...0..|....1.....-4......2........3.<BR>\n" );
document.write( "...1..|....1.....-3.....-1........2<BR>\n" );
document.write( "...2..|....1.....-2......2........7.<BR>\n" );
document.write( "...3..|....1.....-1....-1........0 (3 is a root of mult. 2)<BR>\n" );
document.write( "P(x)=(x-3)(x-3)(x^2-x-1)<BR>\n" );
document.write( "zeros are: 3, 3, and two real irrational roots </SPAN>\n" );
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