document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908292>Question 908292</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain multiplicity, I have completely lost. I understand that it is the number of times X is raised to. Such as (x-2)^3 is multiplicity of 3 and with 2 zero's. I think I understand that correctly. What I don't understand is when given a graph how I would find the multiplicity. I have a few problems I must solve and multiplicity or lowest possible values for n are confusing me to no end. I've google searched and found nothing that \"clicks\" to where I can identify with the graphs. Please explain this. Here is the graphs: \r<BR>\n" );
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document.write( "http://i.imgur.com/2JA8fKq.png \r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550949 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "As I understand it, multiplicity is the number of time same zero appears as a solution.<BR>\n" );
document.write( "See<BR>\n" );
document.write( "http://www.mathwords.com/m/multiplicity.htm\r<BR>\n" );
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document.write( "I think this explains it best with graph examples<BR>\n" );
document.write( "http://www.purplemath.com/modules/polyends2.htm\r<BR>\n" );
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document.write( "Every time the graph  crosses the x axis count one more zero <BR>\n" );
document.write( "Every time the graph touches but doesn't cross the x axis add at least two zeroes </SPAN>\n" );
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