document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82567>Question 82567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x) = x(x + 1)(x - 4), use interval notation to give all values of x where f(x)> 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59209 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=59209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x(x + 1)(x - 4)<BR>\n" );
document.write( "Zeros (x - intercepts)<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "x = 4\r<BR>\n" );
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document.write( "f(x) > 0<BR>\n" );
document.write( "x(x + 1)(x - 4) > 0\r<BR>\n" );
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document.write( "X-Axis<BR>\n" );
document.write( "<---------(-1)-------(0)-------------------(4)--------------->\r<BR>\n" );
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document.write( "Test: x = -2<BR>\n" );
document.write( "(-2)(-2 + 1)(-2 - 4) > 0<BR>\n" );
document.write( "(-2)(-1)(-6) > 0<BR>\n" );
document.write( "-12 > 0 False\r<BR>\n" );
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document.write( "Test: x = -0.5<BR>\n" );
document.write( "(-0.5)(-0.5 + 1)(-0.5 - 4) > 0<BR>\n" );
document.write( "(-0.5)(0.5)(-4.5) > 0<BR>\n" );
document.write( "1.125 > 0 True\r<BR>\n" );
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document.write( "Test: x = 1<BR>\n" );
document.write( "(1)(1 + 1)(1 - 4) > 0<BR>\n" );
document.write( "(1)(2)(-3) > 0<BR>\n" );
document.write( "-6 > 0 False\r<BR>\n" );
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document.write( "Test: x = 5<BR>\n" );
document.write( "(5)(5 + 1)(5 - 4) > 0<BR>\n" );
document.write( "(5)(6)(1) > 0<BR>\n" );
document.write( "30 > 0 True\r<BR>\n" );
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document.write( "X-Axis<BR>\n" );
document.write( "<---------(-1)========(0)-------------------(4)==============><BR>\n" );
document.write( "(-1,0)U(4,+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "Proof:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E3+-+4x%5E2+%2B+x%5E2+-+4x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E3+-+4x%5E2+%2B+x%5E2+-+4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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