document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190271>Question 1190271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to graph this equation: f(x)=x^2(x+2)(x-1)\r<BR>\n" );
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document.write( "I know that x-intercepts are -2,+1\r<BR>\n" );
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document.write( "I am not sure what the x^2 tells about the graph? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821878 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "The factor x^2 of the polynomial tells you that the plot of the polynomial TOUCHES x-axis at x= 0, \r<BR>\n" );
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document.write( "without going from negative values to positive and vice versa, at x= 0.\r<BR>\n" );
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document.write( "In particular, first derivative of this function is zero at x= 0, which means that the tangent line to the plot \r<BR>\n" );
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document.write( "is horizontal at x= 0.\r<BR>\n" );
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document.write( "By the way, in the Internet, there are sites what provide you free of charge plotting tools, so you can produce \r<BR>\n" );
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document.write( "any plot of any function as easy as the tutors do it, ON YOUR OWN.\r<BR>\n" );
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document.write( "It is only the matter of pressing buttons and printing formulas . . . \r<BR>\n" );
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document.write( "One of such sites is  www.desmos.com\r<BR>\n" );
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document.write( "Alternatively, you may use your graphing calculator to make a plot.\r<BR>\n" );
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document.write( "Making plots for students is not a tutors' job.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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