document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452448>Question 452448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function below has at least one rational zero. <BR>\n" );
document.write( "Use this fact to find all zeros of the function. <BR>\n" );
document.write( "f(x)=7x^4 +27x^3 -40x^2 +x +5 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311002 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=311002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function below has at least one rational zero. <BR>\n" );
document.write( "Use this fact to find all zeros of the function. <BR>\n" );
document.write( "f(x)=7x^4 +27x^3 -40x^2 +x +5 \r<BR>\n" );
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document.write( "----<BR>\n" );
document.write( "The sum of the coefficients is zero, so x = 1 is a zero.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Use synthetic division to find other zeroes:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "1)....7....27....-40....1....5<BR>\n" );
document.write( ".......7.....34.....-6...-5...|..0<BR>\n" );
document.write( "------\r<BR>\n" );
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document.write( "The quotient, 7x^3+34x^2-6x+5 has a zero<BR>\n" );
document.write( "at x = -5, which I found using <BR>\n" );
document.write( "a graphing calculator.<BR>\n" );
document.write( "-5).......7.....34.....-6...-5<BR>\n" );
document.write( "...........7.....-1.....-1...|..0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Use the quadratic formula to find the zeroes<BR>\n" );
document.write( "of 7x^2-x-1 = 0<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========== </SPAN>\n" );
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