document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1005756>Question 1005756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question asks Given polynomial function f and a zero of f, find the other zeros: f(x) 5x^3-x^2-18x+8;-2\r<BR>\n" );
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document.write( "What tried was using the synthetic division to solve the other zeros but I get 5x^2-11x+4 to factor out but I don't think anything goes into that. <BR>\n" );
document.write( "What would be the other zeros if that does not factor? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #621930 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=621930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given is that one of the zeros is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; and using this in synthetic division should give a factorable quadratic quotient.\r<BR>\n" );
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document.write( "    -2    |   5   -1   -18   8\r\n" );
document.write( "          |\r\n" );
document.write( "          |       -10   22   -8\r\n" );
document.write( "          |____________________________\r\n" );
document.write( "              5   -11    4   0\r\n" );
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document.write( "Essentially showing what you/your group found.\r<BR>\n" );
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document.write( "The quadratic result should (hopefully) be factorable.  A try:<BR>\n" );
document.write( "Discriminant, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-11%29%5E2-4%2A5%2A4=121-20%2A5=121-80=41 ALIGN=MIDDLE  ALT=\"%28-11%29%5E2-4%2A5%2A4=121-20%2A5=121-80=41\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you should expect two REAL, IRRATIONAL zeros for this quadratic factor.<BR>\n" );
document.write( "They are  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%2811-sqrt%2841%29%29%2F10%29 ALIGN=MIDDLE  ALT=\"highlight%28%2811-sqrt%2841%29%29%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%2811%2Bsqrt%2841%29%29%2F10%29 ALIGN=MIDDLE  ALT=\"highlight%28%2811%2Bsqrt%2841%29%29%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "The formula for the general solution of quadratic equation was used.\r<BR>\n" );
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document.write( "Fixed mistake in denominators </SPAN>\n" );
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