document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027065>Question 1027065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the function g(x)=x^4-2x^2-4\r<BR>\n" );
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document.write( "Find all real zeros of the polynomial function and determine the multiplicity of each zero&#894; determine the maximum possible number of turning points of the graph of the function. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642412 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=642412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=x%5E2 ALIGN=MIDDLE  ALT=\"p=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5E2-2p-4=0 ALIGN=MIDDLE  ALT=\"p%5E2-2p-4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%282%2B-+sqrt%284-4%2A%28-4%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%282%2B-+sqrt%284-4%2A%28-4%29%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%282%2B-+sqrt%2820%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%282%2B-+sqrt%2820%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%282%2B-+2%2Asqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"p=%282%2B-+2%2Asqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=1%2B-+sqrt%285%29 ALIGN=MIDDLE  ALT=\"p=1%2B-+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=1%2B-+sqrt%285%29 ALIGN=MIDDLE  ALT=\"x%5E2=1%2B-+sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=0%2B-+%281%2B-+sqrt%285%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=0%2B-+%281%2B-+sqrt%285%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You should examine that number or expression further.\r<BR>\n" );
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document.write( "There are two \"plus or minus\"es.  They are these:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-1-sqrt%285%29%2C-1%2Bsqrt%285%29%2C1-sqrt%285%29%2C1%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"system%28-1-sqrt%285%29%2C-1%2Bsqrt%285%29%2C1-sqrt%285%29%2C1%2Bsqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which are four separate numbers.  Each has multiplicity of 1. </SPAN>\n" );
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