document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464600>Question 464600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What steps do I take to find all the rational zero's of the function,<BR>\n" );
document.write( "f(x)=10x^25+3x^17-35x+6?<BR>\n" );
document.write( "So far I have found the factors of six.  I have started to divide by 2, and these numbers look odd.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318283 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=318283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rational zero's of the function,<BR>\n" );
document.write( "f(x)=10x^25+3x^17-35x+6?<BR>\n" );
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document.write( "Solve: 10x^25+3x^17-35x+6<BR>\n" );
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document.write( "All the factors are + and -   :<BR>\n" );
document.write( "Factors of six: 1,2,3,6<BR>\n" );
document.write( "Factors of ten: 1,2,5,10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "All the rational roots have the form p/q where<BR>\n" );
document.write( "p is a factor of 6 and q is a factor of 10.<BR>\n" );
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document.write( "Rational Root candidates: 1,2,3,6,1/2,3/2,3,1/5,2/5,3/5,6/5,1/10,3/10<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Graph to get some idea of the rational zeroes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-5%2C5%2C-20%2C20%2C10x%5E25%2B3x%5E17-35%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-5%2C5%2C-20%2C20%2C10x%5E25%2B3x%5E17-35%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );