document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269872>Question 269872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation 3x^3+7x^2-22x-8=0 given that (-1/3) is a root </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197722 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=197722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can use synthetic division. It is easier than polynomial.\r<BR>\n" );
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document.write( "(-1/3)// . . . . . . 3 . . . . . . 7 . . . . . . . -22 . . . . . . . .-8<BR>\n" );
document.write( " . . . . . . . . . . . . . . . . . . . .-1. . . . . . . .-2. . . . . . . . 8<BR>\n" );
document.write( " . . . . . . . . . . . . .3. . . . . . .6 . . . . . . . .-24 . . . . . . . .0<BR>\n" );
document.write( "we now must factor 3x^2 + 6x - 24 as (3x - 6)(x + 4)<BR>\n" );
document.write( "set this equal to zero and we get<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x = -4<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "So our roots are: {-4, -1/3, 2)  </SPAN>\n" );
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