document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202854>Question 202854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following is not a solution to the equation F(x)= x^5+5x^3-36x?\r<BR>\n" );
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document.write( "a. 0<BR>\n" );
document.write( "b. +-2<BR>\n" );
document.write( "c. +-3<BR>\n" );
document.write( "d.+-3i (imaginary number for i)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153017 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=153017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By \"solution\" I assume you mean root (x-value that has a zero function value).<br><BR>\n" );
document.write( "First let's factor F(x):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29+=+x%28x%5E4+%2B+5x%5E2+-36%29 ALIGN=MIDDLE  ALT=\"F%28x%29+=+x%28x%5E4+%2B+5x%5E2+-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29+=+x%28x%5E2+%2B+9%29%28x%5E2+-+4%29 ALIGN=MIDDLE  ALT=\"F%28x%29+=+x%28x%5E2+%2B+9%29%28x%5E2+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29+=+x%28x%5E2+%2B+9%29%28x+%2B+2%29%28x+-+2%29 ALIGN=MIDDLE  ALT=\"F%28x%29+=+x%28x%5E2+%2B+9%29%28x+%2B+2%29%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "F(x) will be zero if any of these factors are zero. If x = 0 then the first factor is zero. If x = +-3i, then the second factor is zero. If x = -2, then the third factor will be zero. If x = 2 then the fourth factor will be zero. So 0, +-3i and +-2 are all roots of F(x)<br><BR>\n" );
document.write( "So +-3 (option (c)) are not roots of F(x). </SPAN>\n" );
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