document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248291>Question 248291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> F(x)= x^3 - 6x2 +13x - 10\r<BR>\n" );
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document.write( "Find all the zeros of the function\r<BR>\n" );
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document.write( "thx!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180977 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^3 - 6x2 +13x - 10=0<BR>\n" );
document.write( "do the rational roots test by dividing +- a/d = +- 10/1<BR>\n" );
document.write( "The possible rational factors are +- 10, 5, 2, 1<BR>\n" );
document.write( "testing these we find that 2 is a zero.<BR>\n" );
document.write( "next we divide x^3 - 6x2 +13x - 10 by x-2 and get x^2-4x+5 which is a quadratic.<BR>\n" );
document.write( "x^2-4x+5=0<BR>\n" );
document.write( "x^2-4x   =-5<BR>\n" );
document.write( "x^2-4x+4=-5+4 completing the square.<BR>\n" );
document.write( "(x-2)^2=-1<BR>\n" );
document.write( "x-2=+-sqrt(-1)<BR>\n" );
document.write( "x=2+i, x=2-i  the other 2 zeros.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
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