document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818163>Question 818163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find all the zeros of the function by the root theorem! 2x^3 - 4x^2 - 10x + 20 = 0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492371 by </B><A HREF=/tutors/aboutme.mpl?userid=dkppathak><B>dkppathak(439)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dkppathak><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=dkppathak><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  find all the zeros of the function by the root theorem! 2x^3 - 4x^2 - 10x + 20=0 <BR>\n" );
document.write( "2x^3 - 4x^2 - 10x + 20 = 0 <BR>\n" );
document.write( "by putting x=2<BR>\n" );
document.write( "we will get  value of polynomial as 0<BR>\n" );
document.write( "so (x-2) is one factor by remainder theorem<BR>\n" );
document.write( "by dividing whole polynomial by x-2 <BR>\n" );
document.write( "we will get  \r<BR>\n" );
document.write( "\n" );
document.write( "2x^3 - 4x^2 - 10x + 20 /x-2=2x^2-10<BR>\n" );
document.write( "so factors are (x-2)(2X^2-10)=0<BR>\n" );
document.write( "x-2=0 or 2x^2-10=0<BR>\n" );
document.write( "x=2 or   2x^2=10<BR>\n" );
document.write( "     or  x^2=5<BR>\n" );
document.write( "      or x=sqrt 5<BR>\n" );
document.write( "therefor zero of equations are  ( as we know zero of cubic equations will be 3)<BR>\n" );
document.write( "x=2 or x=sqrt5 or x=-sqrt5   </SPAN>\n" );
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