document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125326>Question 1125326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the Rational Root Theorem to find all the zeros and write a linear factorization of:&#119891;(&#119909;) = &#119909;^3 &#8722; &#119909;^2 + &#119909; &#8722; 21\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741631 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=741631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factors of the constant 21 are +/-21/1 and +/-3/7.  Factors of the leading coefficient are +/-1<BR>\n" );
document.write( "try 1 and -1<BR>\n" );
document.write( "1-- -1-- 1-- - 21<BR>\n" );
document.write( "1--  0---1----20\r<BR>\n" );
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document.write( "need larger numbers so try -3<BR>\n" );
document.write( "1-- -1-- 1-- -21<BR>\n" );
document.write( "1-- -4-- 13-- -60 now plus 3<BR>\n" );
document.write( "1--  2--  7--  21.  That works<BR>\n" );
document.write( "(x-3) is a factor.<BR>\n" );
document.write( "the other factor is (x^2+2x+7), where the discriminant is -45, so that has complex roots only.\r<BR>\n" );
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