document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=893414>Question 893414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x -intercept. f(x)= (x+1/5)^4(x-1)^3\r<BR>\n" );
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document.write( "Given Answers are:<BR>\n" );
document.write( "a. -1/5, multiplicity 4, touches x-axis;1, multiplicity 3, crosses x-axis<BR>\n" );
document.write( "b. 1/5, multiplicity 4, touches x-axis; -1, multiplicity 3, crosses x-axis<BR>\n" );
document.write( "c. 1/5, multiplicity 4, crosses x-axis; -1, multiplicity 3, touches x-axis<BR>\n" );
document.write( "d. -1/5, multiplicity 4, crosses x-axis; 1, multiplicity 3, touches x-axis<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541271 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is:\r<BR>\n" );
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document.write( "f(x)= (x+1/5)^4 * (x-1)^3 \r<BR>\n" );
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document.write( "you have 2 roots.\r<BR>\n" );
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document.write( "the first root is at x = 1/5 and has a multiplicity of 4 which means that the graph will touch the x-axis at that point but not cross it.\r<BR>\n" );
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document.write( "the second root is at x = 1 and has a multiplicity of 3 which means that the graph will cross the x-axis at that point.\r<BR>\n" );
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document.write( "here's the graph of your equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/081801.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "you solution is selection a.\r<BR>\n" );
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document.write( "you can see that the graph touches the x-axis at x = -1/4 and the graph crosses the x-axis at x = 1.\r<BR>\n" );
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