document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964570>Question 964570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi There! Can You Please Help Me Solve This?? I Just Don't Know How To Take The First Step...\r<BR>\n" );
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document.write( "Solve each equation over the complex numbers:\r<BR>\n" );
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document.write( "x^3+5x^2+4x+20=0\r<BR>\n" );
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document.write( "Thank You So Much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589426 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39616)</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=589426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rational Roots Theorem and synthetic division.  The roots to check would be -1, -2, -4,- 5, -10, maybe -20.\r<BR>\n" );
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document.write( "You asked for a first step.  Take as example 5;  is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5 ALIGN=MIDDLE  ALT=\"x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > one of the binomial factors of the cubic polynomial?  Check the root  -5 using synthetic division.\r<BR>\n" );
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document.write( "__________-5_______|_________1______5_______4_______20<BR>\n" );
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document.write( "__________________|_______________-5________0______-20<BR>\n" );
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document.write( "____________________________1______0______4_________0\r<BR>\n" );
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document.write( "Remainder is 0, so this means -5 is a root, or equivalently,  (x+5) is one of the binomial factors of the polynomial given.\r<BR>\n" );
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document.write( "The quotient from the synthetic division shows  the other factor is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4 ALIGN=MIDDLE  ALT=\"x%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This will have two complex roots. </SPAN>\n" );
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