document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468142>Question 468142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8. Find the bounds on the real zeros of the following function. Please show all of your work.<BR>\n" );
document.write( "f(x)=x^5-5x^4+8x+2 \r<BR>\n" );
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document.write( "please help me out,I appreciate any help, thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322288 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=322288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the bounds on the real zeros of the following function. Please show all of your work.<BR>\n" );
document.write( "f(x)=x^5-5x^4+8x+2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "f(x)=x^5-5x^4+8x+2<BR>\n" );
document.write( "factors of p=2: ±1, ±2<BR>\n" );
document.write( "factors of q=1: ±1<BR>\n" );
document.write( "possible rational roots, (p/q): ±1, ±2<BR>\n" );
document.write( "Using synthetic division to find real rational roots<BR>\n" );
document.write( "0).....1....-5.....0.....0.....8.....2<BR>\n" );
document.write( "1).....1....-4....-4...-4....4....6    (root between 1 and -1)<BR>\n" );
document.write( "-1)...1....-6.....6....-6...14..-12 (alternate signs, -1 is lower bound)<BR>\n" );
document.write( "2).....1....-3...-6...-12..-16..-30<BR>\n" );
document.write( "-2)...1....-7...14...-28..64...-126<BR>\n" );
document.write( "No rational roots found. </SPAN>\n" );
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