document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=807106>Question 807106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor to find all the zeros x^3-5x^2+16x-30=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #486504 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=486504\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factors of 30:\r<BR>\n" );
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document.write( "1,2,3,5,15,30\r<BR>\n" );
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document.write( "of which we'd determine that x=3 is a solution such that\r<BR>\n" );
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document.write( "x^3-5x^2+16x-30=(x-3)(x^2-2x+10)=0\r<BR>\n" );
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document.write( "but the quadratic is not factorable over the reals - so we'd need the quadratic formula to determine that x=1+3i, and x=1-3i are the other two factors. Thus the zeros are:  <BR>\n" );
document.write( "{3, 1-3i, 1+3i} </SPAN>\n" );
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