document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855635>Question 855635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the  end behavior, zeros, and multiplicity of each zero<BR>\n" );
document.write( "a) 30x^4-2x^5 \r<BR>\n" );
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document.write( "b) 0.01(x-20)^2(x+4)^4(x-5)(x+12)^3(x-10) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515494 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=515494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is help for number \"b\".\r<BR>\n" );
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document.write( "Degree is 11.  The coefficient on the leading term, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.01x%5E11 ALIGN=MIDDLE  ALT=\"0.01x%5E11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, will be positive.  As x becomes unbounded to the left, the polynomial's value decreases; and as x becomes unbounded to the right, the polynomial's value increases; since the degree of the polynomial is odd and the leading coefficient is positive.\r<BR>\n" );
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document.write( "The exponent on each variable factor gives you the multiplicity of the zero directly.  The polynomial (which is actually in its factored form) has five zeros.  Those zeros:  20, -4, 5, -12, 10. </SPAN>\n" );
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