document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526112>Question 526112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a rational zero of the polynomial function and use it to find all the zeros of the function f(x)=x^3-6x^2+7x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348332 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=348332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find a rational zero of the polynomial function and use it to find all the zeros of the function f(x)=x^3-6x^2+7x+2<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Using the rational roots theorem:<BR>\n" );
document.write( "...0..|...1......-6........7..........2..............<BR>\n" );
document.write( "...1..|...1......-5........2..........4............<BR>\n" );
document.write( "...2..|...1......-4.......-1.........0 (2 is a root)<BR>\n" );
document.write( "(x-2)(x^2-4x-1)<BR>\n" );
document.write( "solve (x^2-4x-1) by following quadratic equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "answers are:<BR>\n" );
document.write( "x=-0.236<BR>\n" );
document.write( "or <BR>\n" );
document.write( "x=4.236<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Rational roots are: -0.236, 2, and 4.236 </SPAN>\n" );
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