document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466185>Question 466185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sketch the graph of polynomial function\r<BR>\n" );
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document.write( "l(x)=(x - 3)^2 (x + 4)^3\r<BR>\n" );
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document.write( "m(x)=14 + 21x - 2x^2 - 3x^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319539 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=319539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sketch the graph of polynomial function <BR>\n" );
document.write( "l(x)=(x - 3)^2 (x + 4)^3 <BR>\n" );
document.write( "m(x)=14 + 21x - 2x^2 - 3x^3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "l(x)=(x - 3)^2 (x + 4)^3<BR>\n" );
document.write( "This function has 5 real roots, x=3 (multiplicity 2) and x=-4(multiplicity 3),<BR>\n" );
document.write( "as shown by the following graph. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-6%2C+6%2C+-700%2C+700%2C%28x+-+3%29%5E2+%28x+%2B+4%29%5E3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-6%2C+6%2C+-700%2C+700%2C%28x+-+3%29%5E2+%28x+%2B+4%29%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "m(x)=14 + 21x - 2x^2 - 3x^3<BR>\n" );
document.write( "m(x)=(7-x^2)(3x^2+2)<BR>\n" );
document.write( "This function has 2 imaginary roots and 2 real roots at x=±&#8730;7, as shown by the following graph<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-6%2C+6%2C+-50%2C+50%2C%287-x%5E2%29%283x%5E2%2B2%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-6%2C+6%2C+-50%2C+50%2C%287-x%5E2%29%283x%5E2%2B2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".. </SPAN>\n" );
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